304329312 has 144 divisors (see below), whose sum is σ = 1025885952. Its totient is φ = 86935680.

The previous prime is 304329301. The next prime is 304329341. The reversal of 304329312 is 213923403.

It is a happy number.

304329312 is a `hidden beast` number, since 304 + 329 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51637 + ... + 57227.

It is an arithmetic number, because the mean of its divisors is an integer number (7124208).

Almost surely, 2^304329312 is an apocalyptic number.

304329312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304329312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512942976).

304329312 is an abundant number, since it is smaller than the sum of its proper divisors (721556640).

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

304329312 is an equidigital number, since it uses as much as digits as its factorization.

304329312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5623 (or 5603 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 304329312 is about 17445.0368873213. The cubic root of 304329312 is about 672.6377873491.

The spelling of 304329312 in words is "three hundred four million, three hundred twenty-nine thousand, three hundred twelve".