34344 has 40 divisors (see below), whose sum is σ = 98010. Its totient is φ = 11232.

The previous prime is 34337. The next prime is 34351. The reversal of 34344 is 44343.

It is an interprime number because it is at equal distance from previous prime (34337) and next prime (34351).

It can be written as a sum of positive squares in only one way, i.e., 26244 + 8100 = 162^2 + 90^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a nialpdrome in base 9 and base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34344.

It is an unprimeable number.

34344 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 622 + ... + 674.

2³⁴³⁴⁴ 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 34344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49005).

34344 is an abundant number, since it is smaller than the sum of its proper divisors (63666).

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

34344 is a wasteful number, since it uses less digits than its factorization.

34344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 58 counting only the distinct ones).

The product of its digits is 576, while the sum is 18.

The square root of 34344 is about 185.3213425378. The cubic root of 34344 is about 32.5050090899.

Adding to 34344 its reverse (44343), we get a palindrome (78687).

Subtracting 34344 from its reverse (44343), we obtain a palindrome (9999).

It can be divided in two parts, 34 and 344, that added together give a triangular number (378 = T₂₇).

The spelling of 34344 in words is "thirty-four thousand, three hundred forty-four".