344542000 has 80 divisors (see below), whose sum is σ = 908897184. Its totient is φ = 125280000.

The previous prime is 344541943. The next prime is 344542013. The reversal of 344542000 is 245443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14170 + ... + 29830.

Almost surely, 2^344542000 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 344542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454448592).

344542000 is an abundant number, since it is smaller than the sum of its proper divisors (564355184).

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

344542000 is a wasteful number, since it uses less digits than its factorization.

344542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15695 (or 15679 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 344542000 is about 18561.8425809508. The cubic root of 344542000 is about 701.0474115659.

Adding to 344542000 its reverse (245443), we get a palindrome (344787443).

The spelling of 344542000 in words is "three hundred forty-four million, five hundred forty-two thousand".