2964 (number)
2,964 (two thousand nine hundred sixtyfour) is an even fourdigits composite number following 2963 and preceding 2965. In scientific notation, it is written as 2.964 × 10^{3}. The sum of its digits is 21. It has a total of 5 prime factors and 24 positive divisors. There are 864 positive integers (up to 2964) that are relatively prime to 2964.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 4
 Sum of Digits 21
 Digital Root 3
Name
Short name  2 thousand 964 

Full name  two thousand nine hundred sixtyfour 
Notation
Scientific notation  2.964 × 10^{3} 

Engineering notation  2.964 × 10^{3} 
Prime Factorization of 2964
Prime Factorization 2^{2} × 3 × 13 × 19
Composite numberω(n)  Distinct Factors  4  Total number of distinct prime factors 

Ω(n)  Total Factors  5  Total number of prime factors 
rad(n)  Radical  1482  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 2,964 is 2^{2} × 3 × 13 × 19. Since it has a total of 5 prime factors, 2,964 is a composite number.
Divisors of 2964
24 divisors
τ(n)  Total Divisors  24  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  7840  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  4876  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  326.666  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  54.442630355265  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  9.0734693877736  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 2,964 can be divided by 24 positive divisors (out of which 16 are even, and 8 are odd). The sum of these divisors (counting 2,964) is 7,840, the average is 3,26.,666.
Other Arithmetic Functions (n = 2964)
φ(n)  Euler Totient  864  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  36  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 429  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 864 positive integers (less than 2,964) that are coprime with 2,964. And there are approximately 429 prime numbers less than or equal to 2,964.
Divisibility of 2964
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  4  0  3  4  3 
The number 2,964 is divisible by 2, 3, 4 and 6.
Classification of 2964
By Arithmetic functions
 Abundant
Expressible via specific sums
 Polite
 Practical
Base conversion (2964)
Base  System  Value 

2  Binary  101110010100 
3  Ternary  11001210 
4  Quaternary  232110 
5  Quinary  43324 
6  Senary  21420 
8  Octal  5624 
10  Decimal  2964 
12  Duodecimal  1870 
16  Hexadecimal  b94 
20  Vigesimal  784 
36  Base36  2ac 
Basic calculations (n = 2964)
Multiplication
n×yn×2  5928 

n×3  8892 
n×4  11856 
n×5  14820 
Division
n÷yn÷2  1482.000 

n÷3  988.000 
n÷4  741.000 
n÷5  592.800 
Exponentiation
n^{y}n^{2}  8785296 

n^{3}  26039617344 
n^{4}  77181425807616 
n^{5}  228765746093773824 
Nth Root
^{y}√n^{2}√n  54.442630355265 

^{3}√n  14.364573409514 
^{4}√n  7.3785249444089 
^{5}√n  4.9473842238613 
2964 as geometric shapes
Circle
Radius = nDiameter  5928 

Circumference  18623.36125048 
Area  27599821.373212 
Sphere
Radius = nVolume  109074494066.93 

Surface area  110399285.49285 
Circumference  18623.36125048 
Square
Length = nPerimeter  11856 

Area  8785296 
Diagonal  4191.7289988739 
Cube
Length = nSurface area  52711776 

Volume  26039617344 
Space diagonal  5133.7985936342 
Equilateral Triangle
Length = nPerimeter  8892 

Area  3804144.7578829 
Altitude  2566.8992968171 
Triangular Pyramid
Length = nSurface area  15216579.031532 

Volume  3068798333.9075 
Height  2420.0958658698 
Cryptographic Hash Functions
md5  60ad83801910ec976590f69f638e0d6d 

sha1  80c06016b31ffa3b0d157bef344a5fe03cc7fd75 
sha256  a8302321e60791ae50456d85f1bb8b3ef92fbfb23a081da45ef468be922ae9b1 
sha512  58b7ec6bfcb9960f48bd5d9af6c0f53b85e1d16f0e4c2f135c9507143c9261b54e888fba14ee08ca72199790a9d471da4fe81f31a9664438c2ea0d3b84958cf1 
ripemd160  e401a43582d9bf46948235a772224784aba4b846 