313353680 has 20 divisors (see below), whose sum is σ = 728547492. Its totient is φ = 125341440.

The previous prime is 313353659. The next prime is 313353683. The reversal of 313353680 is 86353313.

It can be written as a sum of positive squares in 2 ways, for example, as 218330176 + 95023504 = 14776^2 + 9748^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313353683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1958381 + ... + 1958540.

Almost surely, 2^313353680 is an apocalyptic number.

It is an amenable number.

313353680 is an abundant number, since it is smaller than the sum of its proper divisors (415193812).

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

313353680 is a wasteful number, since it uses less digits than its factorization.

313353680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3916934 (or 3916928 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The square root of 313353680 is about 17701.7987786552. The cubic root of 313353680 is about 679.2217740590.

The spelling of 313353680 in words is "three hundred thirteen million, three hundred fifty-three thousand, six hundred eighty".