314804032 has 56 divisors (see below), whose sum is σ = 648386816. Its totient is φ = 151538688.

The previous prime is 314804023. The next prime is 314804041. The reversal of 314804032 is 230408413.

It is an interprime number because it is at equal distance from previous prime (314804023) and next prime (314804041).

It is a junction number, because it is equal to n+sod(n) for n = 314803988 and 314804006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200113 + ... + 201679.

It is an arithmetic number, because the mean of its divisors is an integer number (11578336).

Almost surely, 2^314804032 is an apocalyptic number.

314804032 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 314804032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324193408).

314804032 is an abundant number, since it is smaller than the sum of its proper divisors (333582784).

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

314804032 is a wasteful number, since it uses less digits than its factorization.

314804032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 314804032 is about 17742.7177174186. The cubic root of 314804032 is about 680.2680834548.

The spelling of 314804032 in words is "three hundred fourteen million, eight hundred four thousand, thirty-two".