313962352 has 80 divisors (see below), whose sum is σ = 693036000. Its totient is φ = 136478720.

The previous prime is 313962347. The next prime is 313962359. The reversal of 313962352 is 253269313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313962359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 699024 + ... + 699472.

It is an arithmetic number, because the mean of its divisors is an integer number (8662950).

Almost surely, 2^313962352 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 313962352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346518000).

313962352 is an abundant number, since it is smaller than the sum of its proper divisors (379073648).

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

313962352 is a wasteful number, since it uses less digits than its factorization.

313962352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 628 counting only the distinct ones).

The product of its digits is 29160, while the sum is 34.

The square root of 313962352 is about 17718.9828150489. The cubic root of 313962352 is about 679.6612730519.

The spelling of 313962352 in words is "three hundred thirteen million, nine hundred sixty-two thousand, three hundred fifty-two".