4440 (number)
4,440 (four thousand four hundred forty) is an even fourdigits composite number following 4439 and preceding 4441. In scientific notation, it is written as 4.44 × 10^{3}. The sum of its digits is 12. It has a total of 6 prime factors and 32 positive divisors. There are 1,152 positive integers (up to 4440) that are relatively prime to 4440.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 4
 Sum of Digits 12
 Digital Root 3
Name
Short name  4 thousand 440 

Full name  four thousand four hundred forty 
Notation
Scientific notation  4.44 × 10^{3} 

Engineering notation  4.44 × 10^{3} 
Prime Factorization of 4440
Prime Factorization 2^{3} × 3 × 5 × 37
Composite numberω(n)  Distinct Factors  4  Total number of distinct prime factors 

Ω(n)  Total Factors  6  Total number of prime factors 
rad(n)  Radical  1110  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 4,440 is 2^{3} × 3 × 5 × 37. Since it has a total of 6 prime factors, 4,440 is a composite number.
Divisors of 4440
32 divisors
τ(n)  Total Divisors  32  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  13680  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  9240  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  427.5  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  66.633324995831  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  10.385964912281  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 4,440 can be divided by 32 positive divisors (out of which 24 are even, and 8 are odd). The sum of these divisors (counting 4,440) is 13,680, the average is 42,7.5.
Other Arithmetic Functions (n = 4440)
φ(n)  Euler Totient  1152  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  ≈ 607  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 4,440) that are coprime with 4,440. And there are approximately 607 prime numbers less than or equal to 4,440.
Divisibility of 4440
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  0  0  2  0  3 
The number 4,440 is divisible by 2, 3, 4, 5, 6 and 8.
Classification of 4440
By Arithmetic functions
 Abundant
Expressible via specific sums
 Polite
 Practical
Base conversion (4440)
Base  System  Value 

2  Binary  1000101011000 
3  Ternary  20002110 
4  Quaternary  1011120 
5  Quinary  120230 
6  Senary  32320 
8  Octal  10530 
10  Decimal  4440 
12  Duodecimal  26a0 
16  Hexadecimal  1158 
20  Vigesimal  b20 
36  Base36  3fc 
Basic calculations (n = 4440)
Multiplication
n×yn×2  8880 

n×3  13320 
n×4  17760 
n×5  22200 
Division
n÷yn÷2  2220.000 

n÷3  1480.000 
n÷4  1110.000 
n÷5  888.000 
Exponentiation
n^{y}n^{2}  19713600 

n^{3}  87528384000 
n^{4}  388626024960000 
n^{5}  1725499550822400000 
Nth Root
^{y}√n^{2}√n  66.633324995831 

^{3}√n  16.435931529754 
^{4}√n  8.1629238019126 
^{5}√n  5.3638496259393 
4440 as geometric shapes
Circle
Radius = nDiameter  8880 

Circumference  27897.342763877 
Area  61932100.935808 
Sphere
Radius = nVolume  366638037539.98 

Surface area  247728403.74323 
Circumference  27897.342763877 
Square
Length = nPerimeter  17760 

Area  19713600 
Diagonal  6279.1082169365 
Cube
Length = nSurface area  118281600 

Volume  87528384000 
Space diagonal  7690.3055856058 
Equilateral Triangle
Length = nPerimeter  13320 

Area  8536239.2000225 
Altitude  3845.1527928029 
Triangular Pyramid
Length = nSurface area  34144956.80009 

Volume  10315318978.783 
Height  3625.2448193191 
Cryptographic Hash Functions
md5  7f2be1b45d278ac18804b79207a24c53 

sha1  584d0a94f41e43a265776a85cea13bd7b8255043 
sha256  bc45def81515c4ff5d0de486c04b4dda6154bb898d3cca834b5b569a24069c43 
sha512  1b53c9b542296f91fb22a00dd70ae0828e13edc5c165e22395279d47b60cd8c62d8953de70b3b0e0c6e27384fbbb68673692c2fd8dfca32273630b2a6353bc8d 
ripemd160  6696a5782898c0795baaa1fc786dad99fc1c4829 