313420320 has 96 divisors (see below), whose sum is σ = 1096986240. Its totient is φ = 83577600.

The previous prime is 313420319. The next prime is 313420339. The reversal of 313420320 is 23024313.

313420320 is a `hidden beast` number, since 3 + 1 + 342 + 0 + 320 = 666.

313420320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 313420293 and 313420302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31956 + ... + 40595.

It is an arithmetic number, because the mean of its divisors is an integer number (11426940).

Almost surely, 2^313420320 is an apocalyptic number.

313420320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313420320 is an abundant number, since it is smaller than the sum of its proper divisors (783565920).

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

313420320 is a wasteful number, since it uses less digits than its factorization.

313420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72575 (or 72561 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 313420320 is about 17703.6809731762. The cubic root of 313420320 is about 679.2699200078.

Adding to 313420320 its reverse (23024313), we get a palindrome (336444633).

The spelling of 313420320 in words is "three hundred thirteen million, four hundred twenty thousand, three hundred twenty".