313851904 has 34 divisors (see below), whose sum is σ = 627830090. Its totient is φ = 156893184.

The previous prime is 313851887. The next prime is 313851907. The reversal of 313851904 is 409158313.

It can be written as a sum of positive squares in only one way, i.e., 198246400 + 115605504 = 14080^2 + 10752^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 313851904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313851907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63142 + ... + 67930.

Almost surely, 2^313851904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313851904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313915045).

313851904 is an abundant number, since it is smaller than the sum of its proper divisors (313978186).

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

313851904 is an frugal number, since it uses more digits than its factorization.

313851904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4821 (or 4791 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 313851904 is about 17715.8658834391. The cubic root of 313851904 is about 679.5815649466.

The spelling of 313851904 in words is "three hundred thirteen million, eight hundred fifty-one thousand, nine hundred four".