313940952 has 192 divisors, whose sum is σ = 978432000. Its totient is φ = 90139392.

The previous prime is 313940923. The next prime is 313940969. The reversal of 313940952 is 259049313.

It is a happy number.

It is a super-3 number, since 3×313940952³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2258499 + ... + 2258637.

It is an arithmetic number, because the mean of its divisors is an integer number (5096000).

Almost surely, 2^313940952 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 313940952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489216000).

313940952 is an abundant number, since it is smaller than the sum of its proper divisors (664491048).

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

313940952 is a wasteful number, since it uses less digits than its factorization.

313940952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 313940952 is about 17718.3789326225. The cubic root of 313940952 is about 679.6458305616.

The spelling of 313940952 in words is "three hundred thirteen million, nine hundred forty thousand, nine hundred fifty-two".