33768 (number)
33,768 (thirtythree thousand seven hundred sixtyeight) is an even fivedigits composite number following 33767 and preceding 33769. In scientific notation, it is written as 3.3768 × 10^{4}. The sum of its digits is 27. It has a total of 7 prime factors and 48 positive divisors. There are 9,504 positive integers (up to 33768) that are relatively prime to 33768.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 5
 Sum of Digits 27
 Digital Root 9
Name
Short name  33 thousand 768 

Full name  thirtythree thousand seven hundred sixtyeight 
Notation
Scientific notation  3.3768 × 10^{4} 

Engineering notation  33.768 × 10^{3} 
Prime Factorization of 33768
Prime Factorization 2^{3} × 3^{2} × 7 × 67
Composite numberω(n)  Distinct Factors  4  Total number of distinct prime factors 

Ω(n)  Total Factors  7  Total number of prime factors 
rad(n)  Radical  2814  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  0  Returns:

Λ(n)  Mangoldt function  0  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 33,768 is 2^{3} × 3^{2} × 7 × 67. Since it has a total of 7 prime factors, 33,768 is a composite number.
Divisors of 33768
48 divisors
τ(n)  Total Divisors  48  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  106080  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  72312  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  2210  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  183.76071397336  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  15.27963800905  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 33,768 can be divided by 48 positive divisors (out of which 36 are even, and 12 are odd). The sum of these divisors (counting 33,768) is 106,080, the average is 2,210.
Other Arithmetic Functions (n = 33768)
φ(n)  Euler Totient  9504  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  132  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 3611  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 9,504 positive integers (less than 33,768) that are coprime with 33,768. And there are approximately 3,611 prime numbers less than or equal to 33,768.
Divisibility of 33768
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  3  0  0  0  0 
The number 33,768 is divisible by 2, 3, 4, 6, 7, 8 and 9.
Classification of 33768
By Arithmetic functions
 Arithmetic
 Abundant
Expressible via specific sums
 Polite
 Practical
 Nonhypotenuse
Base conversion (33768)
Base  System  Value 

2  Binary  1000001111101000 
3  Ternary  1201022200 
4  Quaternary  20033220 
5  Quinary  2040033 
6  Senary  420200 
8  Octal  101750 
10  Decimal  33768 
12  Duodecimal  17660 
16  Hexadecimal  83e8 
20  Vigesimal  4488 
36  Base36  q20 
Basic calculations (n = 33768)
Multiplication
n×yn×2  67536 

n×3  101304 
n×4  135072 
n×5  168840 
Division
n÷yn÷2  16884.000 

n÷3  11256.000 
n÷4  8442.000 
n÷5  6753.600 
Exponentiation
n^{y}n^{2}  1140277824 

n^{3}  38504901560832 
n^{4}  1300233515906174976 
n^{5}  43906285365119716589568 
Nth Root
^{y}√n^{2}√n  183.76071397336 

^{3}√n  32.322264488593 
^{4}√n  13.555836896826 
^{5}√n  8.0482427646205 
33768 as geometric shapes
Circle
Radius = nDiameter  67536 

Circumference  212170.60145284 
Area  3582288434.9298 
Sphere
Radius = nVolume  1.6128895449428E+14 

Surface area  14329153739.719 
Circumference  212170.60145284 
Square
Length = nPerimeter  135072 

Area  1140277824 
Diagonal  47755.163574215 
Cube
Length = nSurface area  6841666944 

Volume  38504901560832 
Space diagonal  58487.891669986 
Equilateral Triangle
Length = nPerimeter  101304 

Area  493754781.47802 
Altitude  29243.945834993 
Triangular Pyramid
Length = nSurface area  1975019125.9121 

Volume  4537846167097.5 
Height  27571.456544767 
Cryptographic Hash Functions
md5  e57323e01dc38ffd09d8d88107468c9e 

sha1  ebd5833a15ff3b9092b1450389ab49b1d9684191 
sha256  b5ead33b190350f6f1988fa8161a3118f44678cc8f71692ebb940710d8ea3faa 
sha512  27377934a083eaeb3e1c110c091021fc4546ba9cbcb5107345f5f55ff867141d5c25ad93effb7954e0a26b4cd9ecf3c5ad1a5cc8c6077699ab4061577635fc5b 
ripemd160  2feeb540c44a3cac7dfc1cb0d14c5d051b26adc3 