13338304 has 56 divisors (see below), whose sum is σ = 31861760. Its totient is φ = 5412096.

The previous prime is 13338257. The next prime is 13338313. The reversal of 13338304 is 40383331.

13338304 = T₃₂ + T₃₃ + ... + T₄₃₀.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7729 + ... + 9295.

It is an arithmetic number, because the mean of its divisors is an integer number (568960).

Almost surely, 2^13338304 is an apocalyptic number.

13338304 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 13338304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15930880).

13338304 is an abundant number, since it is smaller than the sum of its proper divisors (18523456).

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

13338304 is a wasteful number, since it uses less digits than its factorization.

13338304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 13338304 is about 3652.1642898424. The cubic root of 13338304 is about 237.1556835233.

The spelling of 13338304 in words is "thirteen million, three hundred thirty-eight thousand, three hundred four".