313993296 has 90 divisors (see below), whose sum is σ = 908406330. Its totient is φ = 101243520.

The previous prime is 313993279. The next prime is 313993307. The reversal of 313993296 is 692399313.

313993296 is a `hidden beast` number, since 313 + 9 + 9 + 329 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 189447696 + 124545600 = 13764^2 + 11160^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 137250 + ... + 139518.

Almost surely, 2^313993296 is an apocalyptic number.

313993296 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 313993296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454203165).

313993296 is an abundant number, since it is smaller than the sum of its proper divisors (594413034).

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

313993296 is a wasteful number, since it uses less digits than its factorization.

313993296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2305 counting only the distinct ones).

The product of its digits is 236196, while the sum is 45.

The square root of 313993296 is about 17719.8559813561. The cubic root of 313993296 is about 679.6836013633.

The spelling of 313993296 in words is "three hundred thirteen million, nine hundred ninety-three thousand, two hundred ninety-six".