313338400 has 108 divisors (see below), whose sum is σ = 787414446. Its totient is φ = 121753600.

The previous prime is 313338397. The next prime is 313338413. The reversal of 313338400 is 4833313.

It can be written as a sum of positive squares in 9 ways, for example, as 64834704 + 248503696 = 8052^2 + 15764^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 17 ways as a sum of consecutive naturals, for example, 1344684 + ... + 1344916.

Almost surely, 2^313338400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393707223).

313338400 is an abundant number, since it is smaller than the sum of its proper divisors (474076046).

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

313338400 is a wasteful number, since it uses less digits than its factorization.

313338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 313338400 is about 17701.3671788368. The cubic root of 313338400 is about 679.2107336298.

The spelling of 313338400 in words is "three hundred thirteen million, three hundred thirty-eight thousand, four hundred".