313931376 has 300 divisors, whose sum is σ = 1063273464. Its totient is φ = 88646400.

The previous prime is 313931369. The next prime is 313931407. The reversal of 313931376 is 673139313.

313931376 = 321² + 322² + ... + 991².

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 313931376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5146386 + ... + 5146446.

Almost surely, 2^313931376 is an apocalyptic number.

313931376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313931376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531636732).

313931376 is an abundant number, since it is smaller than the sum of its proper divisors (749342088).

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

313931376 is a wasteful number, since it uses less digits than its factorization.

313931376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 96 counting only the distinct ones).

The product of its digits is 30618, while the sum is 36.

The square root of 313931376 is about 17718.1087026804. The cubic root of 313931376 is about 679.6389201807.

The spelling of 313931376 in words is "three hundred thirteen million, nine hundred thirty-one thousand, three hundred seventy-six".