8306304 has 64 divisors (see below), whose sum is σ = 22391040. Its totient is φ = 2727936.

The previous prime is 8306299. The next prime is 8306323. The reversal of 8306304 is 4036038.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×8306304² = 137989372280832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37137 + ... + 37359.

It is an arithmetic number, because the mean of its divisors is an integer number (349860).

Almost surely, 2^8306304 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 8306304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11195520).

8306304 is an abundant number, since it is smaller than the sum of its proper divisors (14084736).

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

8306304 is a wasteful number, since it uses less digits than its factorization.

8306304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 8306304 is about 2882.0659256859. The cubic root of 8306304 is about 202.5206319475.

The spelling of 8306304 in words is "eight million, three hundred six thousand, three hundred four".