313726944 has 96 divisors (see below), whose sum is σ = 855429120. Its totient is φ = 100569600.

The previous prime is 313726921. The next prime is 313726949. The reversal of 313726944 is 449627313.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313726949) 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, 806302 + ... + 806690.

It is an arithmetic number, because the mean of its divisors is an integer number (8910720).

Almost surely, 2^313726944 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 313726944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427714560).

313726944 is an abundant number, since it is smaller than the sum of its proper divisors (541702176).

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

313726944 is a wasteful number, since it uses less digits than its factorization.

313726944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 696 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 313726944 is about 17712.3387501482. The cubic root of 313726944 is about 679.4913612719.

It can be divided in two parts, 3137269 and 44, that added together give a palindrome (3137313).

The spelling of 313726944 in words is "three hundred thirteen million, seven hundred twenty-six thousand, nine hundred forty-four".