3648 (number)
3,648 (three thousand six hundred fortyeight) is an even fourdigits composite number following 3647 and preceding 3649. In scientific notation, it is written as 3.648 × 10^{3}. The sum of its digits is 21. It has a total of 8 prime factors and 28 positive divisors. There are 1,152 positive integers (up to 3648) that are relatively prime to 3648.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 4
 Sum of Digits 21
 Digital Root 3
Name
Short name  3 thousand 648 

Full name  three thousand six hundred fortyeight 
Notation
Scientific notation  3.648 × 10^{3} 

Engineering notation  3.648 × 10^{3} 
Prime Factorization of 3648
Prime Factorization 2^{6} × 3 × 19
Composite numberω(n)  Distinct Factors  3  Total number of distinct prime factors 

Ω(n)  Total Factors  8  Total number of prime factors 
rad(n)  Radical  114  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 3,648 is 2^{6} × 3 × 19. Since it has a total of 8 prime factors, 3,648 is a composite number.
Divisors of 3648
28 divisors
τ(n)  Total Divisors  28  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  10160  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  6512  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  362.857  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  60.398675482166  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  10.053543307091  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 3,648 can be divided by 28 positive divisors (out of which 24 are even, and 4 are odd). The sum of these divisors (counting 3,648) is 10,160, the average is 3,62.,857.
Other Arithmetic Functions (n = 3648)
φ(n)  Euler Totient  1152  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  288  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 512  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 1,152 positive integers (less than 3,648) that are coprime with 3,648. And there are approximately 512 prime numbers less than or equal to 3,648.
Divisibility of 3648
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  3  0  1  0  3 
The number 3,648 is divisible by 2, 3, 4, 6 and 8.
Classification of 3648
By Arithmetic functions
 Abundant
Expressible via specific sums
 Polite
 Practical
 Nonhypotenuse
Base conversion (3648)
Base  System  Value 

2  Binary  111001000000 
3  Ternary  12000010 
4  Quaternary  321000 
5  Quinary  104043 
6  Senary  24520 
8  Octal  7100 
10  Decimal  3648 
12  Duodecimal  2140 
16  Hexadecimal  e40 
20  Vigesimal  928 
36  Base36  2tc 
Basic calculations (n = 3648)
Multiplication
n×yn×2  7296 

n×3  10944 
n×4  14592 
n×5  18240 
Division
n÷yn÷2  1824.000 

n÷3  1216.000 
n÷4  912.000 
n÷5  729.600 
Exponentiation
n^{y}n^{2}  13307904 

n^{3}  48547233792 
n^{4}  177100308873216 
n^{5}  646061926769491968 
Nth Root
^{y}√n^{2}√n  60.398675482166 

^{3}√n  15.394004525107 
^{4}√n  7.7716584769382 
^{5}√n  5.1571642797284 
3648 as geometric shapes
Circle
Radius = nDiameter  7296 

Circumference  22921.060000591 
Area  41808013.441078 
Sphere
Radius = nVolume  203354177377.4 

Surface area  167232053.76431 
Circumference  22921.060000591 
Square
Length = nPerimeter  14592 

Area  13307904 
Diagonal  5159.0510755371 
Cube
Length = nSurface area  79847424 

Volume  48547233792 
Space diagonal  6318.5213460113 
Equilateral Triangle
Length = nPerimeter  10944 

Area  5762491.4675623 
Altitude  3159.2606730056 
Triangular Pyramid
Length = nSurface area  23049965.870249 

Volume  5721346370.362 
Height  2978.5795272243 
Cryptographic Hash Functions
md5  cff02a74da64d145a4aed3a577a106ab 

sha1  414318b3e1279774237a4abb345b2c61fe267d43 
sha256  8d3e3fa0a4294fb5cad57fdf7a0f7321b2e4d56abc4eb72a7db012e9f7d7e7fb 
sha512  74fe024b1bd75182d3949549d7e41ee3302d7d3d3e12e0b290d616389bac817b5e78e47c9a7487b7a1bcba3bdaac34c3565c611595f2aa37df6d515313273672 
ripemd160  919a72d5d3aa22a25f5147baeadd706d32827ee6 