313997040 has 320 divisors, whose sum is σ = 1302297600. Its totient is φ = 67931136.

The previous prime is 313997023. The next prime is 313997077. The reversal of 313997040 is 40799313.

It is a super-2 number, since 2×313997040² = 197188282257523200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 313996986 and 313997004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286734 + ... + 287826.

It is an arithmetic number, because the mean of its divisors is an integer number (4069680).

Almost surely, 2^313997040 is an apocalyptic number.

313997040 is a gapful number since it is divisible by the number (30) 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 313997040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651148800).

313997040 is an abundant number, since it is smaller than the sum of its proper divisors (988300560).

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

313997040 is a wasteful number, since it uses less digits than its factorization.

313997040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 313997040 is about 17719.9616252406. The cubic root of 313997040 is about 679.6863028279.

The spelling of 313997040 in words is "three hundred thirteen million, nine hundred ninety-seven thousand, forty".