313411200 has 96 divisors (see below), whose sum is σ = 1032329760. Its totient is φ = 83573760.

The previous prime is 313411187. The next prime is 313411247. The reversal of 313411200 is 2114313.

313411200 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 313411200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6724 + ... + 25923.

It is an arithmetic number, because the mean of its divisors is an integer number (10753435).

Almost surely, 2^313411200 is an apocalyptic number.

313411200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313411200 is an abundant number, since it is smaller than the sum of its proper divisors (718918560).

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

313411200 is a wasteful number, since it uses less digits than its factorization.

313411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32674 (or 32657 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 313411200 is about 17703.4233977499. The cubic root of 313411200 is about 679.2633314095.

Adding to 313411200 its reverse (2114313), we get a palindrome (315525513).

The spelling of 313411200 in words is "three hundred thirteen million, four hundred eleven thousand, two hundred".