329304 has 16 divisors (see below), whose sum is σ = 823320. Its totient is φ = 109760.

The previous prime is 329299. The next prime is 329309. The reversal of 329304 is 403923.

It is an interprime number because it is at equal distance from previous prime (329299) and next prime (329309).

It is a super-2 number, since 2×329304² = 216882248832, which contains 22 as substring.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329309) by changing a digit.

329304 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, 6837 + ... + 6884.

2³²⁹³⁰⁴ is an apocalyptic number.

It is an amenable number.

329304 is an abundant number, since it is smaller than the sum of its proper divisors (494016).

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

329304 is a wasteful number, since it uses less digits than its factorization.

329304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13730 (or 13726 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 329304 is about 573.8501546571. The cubic root of 329304 is about 69.0556157358.

The spelling of 329304 in words is "three hundred twenty-nine thousand, three hundred four".