330304 has 28 divisors (see below), whose sum is σ = 707644. Its totient is φ = 152064.

The previous prime is 330289. The next prime is 330311. The reversal of 330304 is 403033.

It can be written as a sum of positive squares in 2 ways, for example, as 129600 + 200704 = 360^2 + 448^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 634 + ... + 1030.

It is an arithmetic number, because the mean of its divisors is an integer number (25273).

2³³⁰³⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353822).

330304 is an abundant number, since it is smaller than the sum of its proper divisors (377340).

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

330304 is a wasteful number, since it uses less digits than its factorization.

330304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 330304 is about 574.7208017812. The cubic root of 330304 is about 69.1254456729.

Adding to 330304 its reverse (403033), we get a palindrome (733337).

The spelling of 330304 in words is "three hundred thirty thousand, three hundred four".