11304 has 24 divisors (see below), whose sum is σ = 30810. Its totient is φ = 3744.

The previous prime is 11299. The next prime is 11311. The reversal of 11304 is 40311.

It can be written as a sum of positive squares in only one way, i.e., 10404 + 900 = 102^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×11304³ = 4333289467392, which contains 333 as substring.

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

It is a nialpdrome in base 12.

It is an unprimeable number.

11304 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 (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7 + ... + 150.

2¹¹³⁰⁴ 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 11304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15405).

11304 is an abundant number, since it is smaller than the sum of its proper divisors (19506).

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

11304 is a wasteful number, since it uses less digits than its factorization.

11304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 11304 is about 106.3202708800. The cubic root of 11304 is about 22.4428177613.

Adding to 11304 its reverse (40311), we get a palindrome (51615).

The spelling of 11304 in words is "eleven thousand, three hundred four", and thus it is an iban number.