2306304 has 216 divisors, whose sum is σ = 8928192. Its totient is φ = 552960.

The previous prime is 2306303. The next prime is 2306309. The reversal of 2306304 is 4036032.

2306304 is a `hidden beast` number, since 2 + 30 + 630 + 4 = 666.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (2306303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177402 + ... + 177414.

2^2306304 is an apocalyptic number.

2306304 is a gapful number since it is divisible by the number (24) 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 2306304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464096).

2306304 is an abundant number, since it is smaller than the sum of its proper divisors (6621888).

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

2306304 is a wasteful number, since it uses less digits than its factorization.

2306304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2306304 is about 1518.6520338774. The cubic root of 2306304 is about 132.1211009854.

The spelling of 2306304 in words is "two million, three hundred six thousand, three hundred four".