313401840 has 160 divisors (see below), whose sum is σ = 1033058880. Its totient is φ = 78446592.

The previous prime is 313401839. The next prime is 313401857. The reversal of 313401840 is 48104313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 313401840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256912 + ... + 258128.

It is an arithmetic number, because the mean of its divisors is an integer number (6456618).

Almost surely, 2^313401840 is an apocalyptic number.

313401840 is a gapful number since it is divisible by the number (30) 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 313401840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516529440).

313401840 is an abundant number, since it is smaller than the sum of its proper divisors (719657040).

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

313401840 is a wasteful number, since it uses less digits than its factorization.

313401840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 313401840 is about 17703.1590401261. The cubic root of 313401840 is about 679.2565692942.

The spelling of 313401840 in words is "three hundred thirteen million, four hundred one thousand, eight hundred forty".