304032 has 24 divisors (see below), whose sum is σ = 798336. Its totient is φ = 101312.

The previous prime is 304021. The next prime is 304033. The reversal of 304032 is 230403.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 303999 and 304017.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 304032.

It is not an unprimeable number, because it can be changed into a prime (304033) by changing a digit.

304032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1488 + ... + 1679.

It is an arithmetic number, because the mean of its divisors is an integer number (33264).

2³⁰⁴⁰³² is an apocalyptic number.

304032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

304032 is an abundant number, since it is smaller than the sum of its proper divisors (494304).

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

304032 is a wasteful number, since it uses less digits than its factorization.

304032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 304032 is about 551.3909683700. The cubic root of 304032 is about 67.2418673342.

Adding to 304032 its reverse (230403), we get a palindrome (534435).

It can be divided in two parts, 30403 and 2, that multiplied together give a palindrome (60806).

The spelling of 304032 in words is "three hundred four thousand, thirty-two".