314304032 has 72 divisors (see below), whose sum is σ = 737519580. Its totient is φ = 131389440.

The previous prime is 314304019. The next prime is 314304037. The reversal of 314304032 is 230403413.

It can be written as a sum of positive squares in 2 ways, for example, as 304293136 + 10010896 = 17444^2 + 3164^2 .

It is a junction number, because it is equal to n+sod(n) for n = 314303995 and 314304013.

It is not an unprimeable number, because it can be changed into a prime (314304037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61844 + ... + 66732.

Almost surely, 2^314304032 is an apocalyptic number.

314304032 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 314304032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368759790).

314304032 is an abundant number, since it is smaller than the sum of its proper divisors (423215548).

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

314304032 is a wasteful number, since it uses less digits than its factorization.

314304032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4954 (or 4939 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 314304032 is about 17728.6218302495. The cubic root of 314304032 is about 679.9077383477.

Adding to 314304032 its reverse (230403413), we get a palindrome (544707445).

The spelling of 314304032 in words is "three hundred fourteen million, three hundred four thousand, thirty-two".