344000 has 56 divisors (see below), whose sum is σ = 871728. Its totient is φ = 134400.

The previous prime is 343997. The next prime is 344017. The reversal of 344000 is 443.

It is a congruent number.

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, 7979 + ... + 8021.

2³⁴⁴⁰⁰⁰ 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 344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435864).

344000 is an abundant number, since it is smaller than the sum of its proper divisors (527728).

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

344000 is an equidigital number, since it uses as much as digits as its factorization.

344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 344000 is about 586.5151319446. The cubic root of 344000 is about 70.0679612077.

Adding to 344000 its reverse (443), we get a palindrome (344443).

The spelling of 344000 in words is "three hundred forty-four thousand", and thus it is an iban number.