344304 has 40 divisors (see below), whose sum is σ = 989520. Its totient is φ = 114624.

The previous prime is 344293. The next prime is 344321. The reversal of 344304 is 403443.

344304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

344304 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34 + ... + 830.

It is an arithmetic number, because the mean of its divisors is an integer number (24738).

2³⁴⁴³⁰⁴ 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 344304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494760).

344304 is an abundant number, since it is smaller than the sum of its proper divisors (645216).

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

344304 is a wasteful number, since it uses less digits than its factorization.

344304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 802 counting only the distinct ones).

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

The square root of 344304 is about 586.7742325631. The cubic root of 344304 is about 70.0885953053.

Adding to 344304 its reverse (403443), we get a palindrome (747747).

The spelling of 344304 in words is "three hundred forty-four thousand, three hundred four", and thus it is an iban number.