11304000 has 168 divisors, whose sum is σ = 40693848. Its totient is φ = 2995200.

The previous prime is 11303989. The next prime is 11304001. The reversal of 11304000 is 40311.

It can be written as a sum of positive squares in 4 ways, for example, as 1115136 + 10188864 = 1056^2 + 3192^2 .

It is a super-3 number, since 3×11304000³ (a number of 22 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11304001) 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, 71922 + ... + 72078.

Almost surely, 2^11304000 is an apocalyptic number.

11304000 is a gapful number since it is divisible by the number (10) 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 11304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20346924).

11304000 is an abundant number, since it is smaller than the sum of its proper divisors (29389848).

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

11304000 is a wasteful number, since it uses less digits than its factorization.

11304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 167 counting only the distinct ones).

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

The square root of 11304000 is about 3362.1421742693. The cubic root of 11304000 is about 224.4281776126.

Adding to 11304000 its reverse (40311), we get a palindrome (11344311).

The spelling of 11304000 in words is "eleven million, three hundred four thousand".