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29364 = 2232447

29364 has 12 divisors (see below), whose sum is σ = 68544. Its totient is φ = 9784.

The previous prime is 29363. The next prime is 29383. The reversal of 29364 is 46392.

29364 is digitally balanced in base 4, 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 (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

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 29364.

It is not an unprimeable number, because it can be changed into a prime (29363) 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, 1212 + ... + 1235.

It is an arithmetic number, because the mean of its divisors is an integer number (5712).

229364 is an apocalyptic number.

It is an amenable number.

29364 is an abundant number, since it is smaller than the sum of its proper divisors (39180).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34272).

29364 is a wasteful number, since it uses less digits than its factorization.

29364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2452 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 29364 is about 171.3592717071. The cubic root of 29364 is about 30.8511770752.

It can be divided in two parts, 29 and 364, that added together give a palindrome (393).

The spelling of 29364 in words is "twenty-nine thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 2447 4894 7341 9788 14682 29364