2304 has 27 divisors (see below), whose sum is σ = 6643. Its totient is φ = 768.

The previous prime is 2297. The next prime is 2309. The reversal of 2304 is 4032.

2304 = T_{47} + T_{48}.

The square root of 2304 is 48.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)^{2} ⋅ (2!)^{2}.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is an enlightened number because it begins with the concatenation of its prime factors (23).

It is a nialpdrome in base 4, base 8, base 14 and base 16.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2309) by changing a digit.

2304 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 (2) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 767 + 768 + 769.

2^{2304} is an apocalyptic number.

2304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2304 is the 48-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2304

2304 is an abundant number, since it is smaller than the sum of its proper divisors (4339).

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

2304 is an equidigital number, since it uses as much as digits as its factorization.

2304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The cubic root of 2304 is about 13.2077089956.

Adding to 2304 its reverse (4032), we get a palindrome (6336).

Subtracting 2304 from its reverse (4032), we obtain a cube (1728 = 12^{3}).

The spelling of 2304 in words is "two thousand, three hundred four", and thus it is an iban number.

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