345344 has 36 divisors (see below), whose sum is σ = 735840. Its totient is φ = 161280.

The previous prime is 345329. The next prime is 345379. The reversal of 345344 is 443543.

It is a happy number.

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 345344.

It is an unprimeable number.

345344 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 3 ways as a sum of consecutive naturals, for example, 4829 + ... + 4899.

It is an arithmetic number, because the mean of its divisors is an integer number (20440).

2³⁴⁵³⁴⁴ 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 345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367920).

345344 is an abundant number, since it is smaller than the sum of its proper divisors (390496).

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

345344 is an equidigital number, since it uses as much as digits as its factorization.

345344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 92 counting only the distinct ones).

The product of its digits is 2880, while the sum is 23.

The square root of 345344 is about 587.6597655106. The cubic root of 345344 is about 70.1590939244.

Adding to 345344 its reverse (443543), we get a palindrome (788887).

The spelling of 345344 in words is "three hundred forty-five thousand, three hundred forty-four".