13344384 has 128 divisors (see below), whose sum is σ = 39168000. Its totient is φ = 4008960.

The previous prime is 13344377. The next prime is 13344391. The reversal of 13344384 is 48344331.

It is an interprime number because it is at equal distance from previous prime (13344377) and next prime (13344391).

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226147 + ... + 226205.

It is an arithmetic number, because the mean of its divisors is an integer number (306000).

Almost surely, 2^13344384 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 13344384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19584000).

13344384 is an abundant number, since it is smaller than the sum of its proper divisors (25823616).

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

13344384 is a wasteful number, since it uses less digits than its factorization.

13344384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 13344384 is about 3652.9965781533. The cubic root of 13344384 is about 237.1917122799.

The spelling of 13344384 in words is "thirteen million, three hundred forty-four thousand, three hundred eighty-four".