314056032 has 48 divisors (see below), whose sum is σ = 831988080. Its totient is φ = 103721472.

The previous prime is 314056031. The next prime is 314056033. The reversal of 314056032 is 230650413.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (314056031) and next prime (314056033).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 314055993 and 314056011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314056031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4543 + ... + 25470.

It is an arithmetic number, because the mean of its divisors is an integer number (17333085).

Almost surely, 2^314056032 is an apocalyptic number.

314056032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

314056032 is an abundant number, since it is smaller than the sum of its proper divisors (517932048).

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

314056032 is a wasteful number, since it uses less digits than its factorization.

314056032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30135 (or 30127 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 314056032 is about 17721.6261104900. The cubic root of 314056032 is about 679.7288653773.

The spelling of 314056032 in words is "three hundred fourteen million, fifty-six thousand, thirty-two".