29344 has 24 divisors (see below), whose sum is σ = 66528. Its totient is φ = 12480.

The previous prime is 29339. The next prime is 29347. The reversal of 29344 is 44392.

It is a super-2 number, since 2×29344² = 1722140672, which contains 22 as substring.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (29347) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 159 + ... + 289.

It is an arithmetic number, because the mean of its divisors is an integer number (2772).

2²⁹³⁴⁴ 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 29344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33264).

29344 is an abundant number, since it is smaller than the sum of its proper divisors (37184).

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

29344 is a wasteful number, since it uses less digits than its factorization.

29344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 140 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 29344 is about 171.3009048429. The cubic root of 29344 is about 30.8441711759.

It can be divided in two parts, 29 and 344, that added together give a palindrome (373).

The spelling of 29344 in words is "twenty-nine thousand, three hundred forty-four".