40344 has 24 divisors (see below), whose sum is σ = 103380. Its totient is φ = 13120.

The previous prime is 40343. The next prime is 40351. The reversal of 40344 is 44304.

40344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40344.

It is not an unprimeable number, because it can be changed into a prime (40343) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 964 + ... + 1004.

2⁴⁰³⁴⁴ 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 40344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51690).

40344 is an abundant number, since it is smaller than the sum of its proper divisors (63036).

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

40344 is a wasteful number, since it uses less digits than its factorization.

40344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 40344 is about 200.8581589082. The cubic root of 40344 is about 34.2972778455.

Adding to 40344 its reverse (44304), we get a palindrome (84648).

The spelling of 40344 in words is "forty thousand, three hundred forty-four", and thus it is an iban number.