344014000 has 160 divisors (see below), whose sum is σ = 956367360. Its totient is φ = 118368000.

The previous prime is 344013997. The next prime is 344014007. The reversal of 344014000 is 410443.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (344014007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417589 + ... + 418411.

It is an arithmetic number, because the mean of its divisors is an integer number (5977296).

Almost surely, 2^344014000 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 344014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478183680).

344014000 is an abundant number, since it is smaller than the sum of its proper divisors (612353360).

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

344014000 is a wasteful number, since it uses less digits than its factorization.

344014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 344014000 is about 18547.6144018577. The cubic root of 344014000 is about 700.6891172920.

Adding to 344014000 its reverse (410443), we get a palindrome (344424443).

The spelling of 344014000 in words is "three hundred forty-four million, fourteen thousand".