314260032 has 56 divisors (see below), whose sum is σ = 834920352. Its totient is φ = 104320000.

The previous prime is 314260007. The next prime is 314260043. The reversal of 314260032 is 230062413.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 314259990 and 314260008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44932 + ... + 51452.

It is an arithmetic number, because the mean of its divisors is an integer number (14909292).

Almost surely, 2^314260032 is an apocalyptic number.

314260032 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 314260032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417460176).

314260032 is an abundant number, since it is smaller than the sum of its proper divisors (520660320).

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

314260032 is a wasteful number, since it uses less digits than its factorization.

314260032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6787 (or 6777 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 314260032 is about 17727.3808556143. The cubic root of 314260032 is about 679.8760096884.

The spelling of 314260032 in words is "three hundred fourteen million, two hundred sixty thousand, thirty-two".