382304 has 24 divisors (see below), whose sum is σ = 811440. Its totient is φ = 176256.

The previous prime is 382303. The next prime is 382331. The reversal of 382304 is 403283.

382304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382303) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44 + ... + 875.

It is an arithmetic number, because the mean of its divisors is an integer number (33810).

2³⁸²³⁰⁴ is an apocalyptic number.

It is an amenable number.

382304 is an abundant number, since it is smaller than the sum of its proper divisors (429136).

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

382304 is a wasteful number, since it uses less digits than its factorization.

382304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 382304 is about 618.3073669301. The cubic root of 382304 is about 72.5776575730.

Adding to 382304 its reverse (403283), we get a palindrome (785587).

It can be divided in two parts, 382 and 304, that added together give a palindrome (686).

The spelling of 382304 in words is "three hundred eighty-two thousand, three hundred four".