13642344 has 80 divisors (see below), whose sum is σ = 39312900. Its totient is φ = 4416768.

The previous prime is 13642337. The next prime is 13642351. The reversal of 13642344 is 44324631.

13642344 is a `hidden beast` number, since 13 + 642 + 3 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13642337) and next prime (13642351).

It can be written as a sum of positive squares in 2 ways, for example, as 13616100 + 26244 = 3690^2 + 162^2 .

It is a super-2 number, since 2×13642344² = 372227099628672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23692 + ... + 24260.

Almost surely, 2^13642344 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 13642344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656450).

13642344 is an abundant number, since it is smaller than the sum of its proper divisors (25670556).

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

13642344 is a wasteful number, since it uses less digits than its factorization.

13642344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 611 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 13642344 is about 3693.5543856833. The cubic root of 13642344 is about 238.9441113928.

Adding to 13642344 its reverse (44324631), we get a palindrome (57966975).

The spelling of 13642344 in words is "thirteen million, six hundred forty-two thousand, three hundred forty-four".