11304384 has 112 divisors (see below), whose sum is σ = 36868608. Its totient is φ = 2976768.

The previous prime is 11304379. The next prime is 11304401. The reversal of 11304384 is 48340311.

11304384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×11304384³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17149 + ... + 17795.

It is an arithmetic number, because the mean of its divisors is an integer number (329184).

Almost surely, 2^11304384 is an apocalyptic number.

11304384 is a gapful number since it is divisible by the number (14) 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 11304384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18434304).

11304384 is an abundant number, since it is smaller than the sum of its proper divisors (25564224).

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

11304384 is a wasteful number, since it uses less digits than its factorization.

11304384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 11304384 is about 3362.1992802331. The cubic root of 11304384 is about 224.4307188795.

Adding to 11304384 its reverse (48340311), we get a palindrome (59644695).

The spelling of 11304384 in words is "eleven million, three hundred four thousand, three hundred eighty-four".