13305344 has 40 divisors (see below), whose sum is σ = 28644000. Its totient is φ = 6137856.

The previous prime is 13305323. The next prime is 13305349. The reversal of 13305344 is 44350331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13305349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5657 + ... + 7655.

It is an arithmetic number, because the mean of its divisors is an integer number (716100).

Almost surely, 2^13305344 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 13305344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14322000).

13305344 is an abundant number, since it is smaller than the sum of its proper divisors (15338656).

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

13305344 is an equidigital number, since it uses as much as digits as its factorization.

13305344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 13305344 is about 3647.6491059311. The cubic root of 13305344 is about 236.9601789399.

Adding to 13305344 its reverse (44350331), we get a palindrome (57655675).

The spelling of 13305344 in words is "thirteen million, three hundred five thousand, three hundred forty-four".