11294304 has 84 divisors (see below), whose sum is σ = 34588764. Its totient is φ = 3226944.

The previous prime is 11294299. The next prime is 11294321. The reversal of 11294304 is 40349211.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×11294304² = 255122605688832, which contains 22 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 13 ways as a sum of consecutive naturals, for example, 1613469 + ... + 1613475.

It is an arithmetic number, because the mean of its divisors is an integer number (411771).

Almost surely, 2^11294304 is an apocalyptic number.

11294304 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 11294304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17294382).

11294304 is an abundant number, since it is smaller than the sum of its proper divisors (23294460).

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

11294304 is an frugal number, since it uses more digits than its factorization.

11294304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 11294304 is about 3360.6999270985. The cubic root of 11294304 is about 224.3639915405.

Multiplying 11294304 by its sum of digits (24), we get a square (271063296 = 16464²).

11294304 divided by its sum of digits (24) gives a square (470596 = 686²).

Multiplying 11294304 by its product of nonzero digits (864), we get a square (9758278656 = 98784²).

The spelling of 11294304 in words is "eleven million, two hundred ninety-four thousand, three hundred four".