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313818432 = 2631634471
BaseRepresentation
bin10010101101000…
…111110101000000
3210212111121221220
4102231013311000
51120314142212
651050115040
710530261354
oct2255076500
9725447856
10313818432
11151162484
128911ba80
13500286a5
142d96d464
151c83d38c
hex12b47d40

313818432 has 28 divisors (see below), whose sum is σ = 830311776. Its totient is φ = 104606080.

The previous prime is 313818431. The next prime is 313818451. The reversal of 313818432 is 234818313.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 313818393 and 313818402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313818431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 817044 + ... + 817427.

It is an arithmetic number, because the mean of its divisors is an integer number (29653992).

Almost surely, 2313818432 is an apocalyptic number.

313818432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

313818432 is an abundant number, since it is smaller than the sum of its proper divisors (516493344).

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

313818432 is a wasteful number, since it uses less digits than its factorization.

313818432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634486 (or 1634476 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 313818432 is about 17714.9211683259. The cubic root of 313818432 is about 679.5574051836.

The spelling of 313818432 in words is "three hundred thirteen million, eight hundred eighteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1634471 3268942 4903413 6537884 9806826 13075768 19613652 26151536 39227304 52303072 78454608 104606144 156909216 313818432