304038 has 48 divisors (see below), whose sum is σ = 798720. Its totient is φ = 81648.

The previous prime is 304033. The next prime is 304039. The reversal of 304038 is 830403.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 304038.

It is a congruent number.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2331 + ... + 2457.

It is an arithmetic number, because the mean of its divisors is an integer number (16640).

2³⁰⁴⁰³⁸ is an apocalyptic number.

304038 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 304038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399360).

304038 is an abundant number, since it is smaller than the sum of its proper divisors (494682).

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

304038 is a wasteful number, since it uses less digits than its factorization.

304038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 304038 is about 551.3964091287. The cubic root of 304038 is about 67.2423096654.

The spelling of 304038 in words is "three hundred four thousand, thirty-eight".