344050304 has 64 divisors (see below), whose sum is σ = 742560000. Its totient is φ = 157842432.

The previous prime is 344050283. The next prime is 344050349. The reversal of 344050304 is 403050443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×344050304² = 236741223364984832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 344050304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330617 + ... + 331655.

It is an arithmetic number, because the mean of its divisors is an integer number (11602500).

Almost surely, 2^344050304 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 344050304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371280000).

344050304 is an abundant number, since it is smaller than the sum of its proper divisors (398509696).

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

344050304 is a wasteful number, since it uses less digits than its factorization.

344050304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1253 counting only the distinct ones).

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

The square root of 344050304 is about 18548.5930463742. The cubic root of 344050304 is about 700.7137644700.

The spelling of 344050304 in words is "three hundred forty-four million, fifty thousand, three hundred four".