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3815328 = 253113613
BaseRepresentation
bin1110100011011110100000
321011211122110
432203132200
51434042303
6213435320
744300256
oct16433640
97154573
103815328
112176570
12133bb40
13a377ba
147145d6
15505703
hex3a37a0

3815328 has 48 divisors (see below), whose sum is σ = 10928736. Its totient is φ = 1155840.

The previous prime is 3815321. The next prime is 3815351. The reversal of 3815328 is 8235183.

It is a happy number.

3815328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 3815295 and 3815304.

It is not an unprimeable number, because it can be changed into a prime (3815321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 751 + ... + 2862.

It is an arithmetic number, because the mean of its divisors is an integer number (227682).

Almost surely, 23815328 is an apocalyptic number.

It is an amenable number.

3815328 is an abundant number, since it is smaller than the sum of its proper divisors (7113408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3815328 is a wasteful number, since it uses less digits than its factorization.

3815328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3637 (or 3629 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 3815328 is about 1953.2864613261. The cubic root of 3815328 is about 156.2586111521.

The spelling of 3815328 in words is "three million, eight hundred fifteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 3613 7226 10839 14452 21678 28904 39743 43356 57808 79486 86712 115616 119229 158972 173424 238458 317944 346848 476916 635888 953832 1271776 1907664 3815328