313312440 has 128 divisors (see below), whose sum is σ = 1120988160. Its totient is φ = 68496384.

The previous prime is 313312427. The next prime is 313312457. The reversal of 313312440 is 44213313.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 11212 + ... + 27428.

It is an arithmetic number, because the mean of its divisors is an integer number (8757720).

Almost surely, 2^313312440 is an apocalyptic number.

313312440 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 313312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560494080).

313312440 is an abundant number, since it is smaller than the sum of its proper divisors (807675720).

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

313312440 is a wasteful number, since it uses less digits than its factorization.

313312440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16261 (or 16257 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 313312440 is about 17700.6338869544. The cubic root of 313312440 is about 679.1919756378.

Adding to 313312440 its reverse (44213313), we get a palindrome (357525753).

The spelling of 313312440 in words is "three hundred thirteen million, three hundred twelve thousand, four hundred forty".