13282304 has 88 divisors (see below), whose sum is σ = 32424480. Its totient is φ = 5308416.

The previous prime is 13282303. The next prime is 13282327. The reversal of 13282304 is 40328231.

It is a self number, because there is not a number n which added to its sum of digits gives 13282304.

It is not an unprimeable number, because it can be changed into a prime (13282303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121802 + ... + 121910.

It is an arithmetic number, because the mean of its divisors is an integer number (368460).

Almost surely, 2^13282304 is an apocalyptic number.

13282304 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 13282304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16212240).

13282304 is an abundant number, since it is smaller than the sum of its proper divisors (19142176).

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

13282304 is a wasteful number, since it uses less digits than its factorization.

13282304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 13282304 is about 3644.4895390164. The cubic root of 13282304 is about 236.8233237314.

The spelling of 13282304 in words is "thirteen million, two hundred eighty-two thousand, three hundred four".