314332000 has 48 divisors (see below), whose sum is σ = 772323552. Its totient is φ = 125731200.

The previous prime is 314331973. The next prime is 314332009. The reversal of 314332000 is 233413.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314332009) by changing a digit.

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, 35292 + ... + 43291.

It is an arithmetic number, because the mean of its divisors is an integer number (16090074).

Almost surely, 2^314332000 is an apocalyptic number.

It is an amenable number.

314332000 is an abundant number, since it is smaller than the sum of its proper divisors (457991552).

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

314332000 is an equidigital number, since it uses as much as digits as its factorization.

314332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78608 (or 78590 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 314332000 is about 17729.4105936999. The cubic root of 314332000 is about 679.9279046980.

Adding to 314332000 its reverse (233413), we get a palindrome (314565413).

It can be divided in two parts, 31433 and 2000, that added together give a palindrome (33433).

The spelling of 314332000 in words is "three hundred fourteen million, three hundred thirty-two thousand".