310713312 has 144 divisors (see below), whose sum is σ = 1021969872. Its totient is φ = 81930240.

The previous prime is 310713311. The next prime is 310713317. The reversal of 310713312 is 213317013.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310713311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58612 + ... + 63692.

It is an arithmetic number, because the mean of its divisors is an integer number (7097013).

Almost surely, 2^310713312 is an apocalyptic number.

310713312 is a gapful number since it is divisible by the number (32) 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 310713312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510984936).

310713312 is an abundant number, since it is smaller than the sum of its proper divisors (711256560).

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

310713312 is a wasteful number, since it uses less digits than its factorization.

310713312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5121 (or 5106 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 310713312 is about 17627.0619219426. The cubic root of 310713312 is about 677.3086469120.

The spelling of 310713312 in words is "three hundred ten million, seven hundred thirteen thousand, three hundred twelve".