6306304 has 40 divisors (see below), whose sum is σ = 12828420. Its totient is φ = 3096576.

The previous prime is 6306283. The next prime is 6306341. The reversal of 6306304 is 4036036.

It can be written as a sum of positive squares in 2 ways, for example, as 5992704 + 313600 = 2448^2 + 560^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55752 + ... + 55864.

Almost surely, 2^6306304 is an apocalyptic number.

6306304 is a gapful number since it is divisible by the number (64) 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 6306304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6414210).

6306304 is an abundant number, since it is smaller than the sum of its proper divisors (6522116).

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

6306304 is a wasteful number, since it uses less digits than its factorization.

6306304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 6306304 is about 2511.2355524721. The cubic root of 6306304 is about 184.7530574220.

The spelling of 6306304 in words is "six million, three hundred six thousand, three hundred four".