12304 has 10 divisors (see below), whose sum is σ = 23870. Its totient is φ = 6144.

The previous prime is 12301. The next prime is 12323. The reversal of 12304 is 40321.

Multipling 12304 by its product of nonzero digits (24), we get a triangular number (295296 = T_{768}).

Adding to 12304 its reverse (40321), we get a palindrome (52625).

12304 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 10000 + 2304 = 100^2 + 48^2 .

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (12301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 369 + ... + 400.

It is an arithmetic number, because the mean of its divisors is an integer number (2387).

2^{12304} is an apocalyptic number.

It is an amenable number.

12304 is a deficient number, since it is larger than the sum of its proper divisors (11566).

12304 is an equidigital number, since it uses as much as digits as its factorization.

12304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 12304 is about 110.9233969909. The cubic root of 12304 is about 23.0860044030.

The spelling of 12304 in words is "twelve thousand, three hundred four", and thus it is an iban number.

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