314037952 has 56 divisors (see below), whose sum is σ = 653283936. Its totient is φ = 149495808.

The previous prime is 314037949. The next prime is 314038001. The reversal of 314037952 is 259730413.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466288 + ... + 466960.

Almost surely, 2^314037952 is an apocalyptic number.

314037952 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 314037952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326641968).

314037952 is an abundant number, since it is smaller than the sum of its proper divisors (339245984).

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

314037952 is a wasteful number, since it uses less digits than its factorization.

314037952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 314037952 is about 17721.1159919459. The cubic root of 314037952 is about 679.7158212785.

The spelling of 314037952 in words is "three hundred fourteen million, thirty-seven thousand, nine hundred fifty-two".