13399344 has 150 divisors (see below), whose sum is σ = 45327084. Its totient is φ = 3810240.

The previous prime is 13399343. The next prime is 13399361. The reversal of 13399344 is 44399331.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a nialpdrome in base 16.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 13399299 and 13399308.

It is not an unprimeable number, because it can be changed into a prime (13399343) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 63399 + ... + 63609.

Almost surely, 2^13399344 is an apocalyptic number.

13399344 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 13399344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22663542).

13399344 is an abundant number, since it is smaller than the sum of its proper divisors (31927740).

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

13399344 is a wasteful number, since it uses less digits than its factorization.

13399344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 223 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 13399344 is about 3660.5114396762. The cubic root of 13399344 is about 237.5168977820.

Adding to 13399344 its product of digits (34992), we get a triangular number (13434336 = T₅₁₈₃).

The spelling of 13399344 in words is "thirteen million, three hundred ninety-nine thousand, three hundred forty-four".