344242000 has 80 divisors (see below), whose sum is σ = 876283200. Its totient is φ = 130435200.

The previous prime is 344241983. The next prime is 344242007. The reversal of 344242000 is 242443.

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 (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344242007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33471 + ... + 42529.

It is an arithmetic number, because the mean of its divisors is an integer number (10953540).

Almost surely, 2^344242000 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 344242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438141600).

344242000 is an abundant number, since it is smaller than the sum of its proper divisors (532041200).

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

344242000 is a wasteful number, since it uses less digits than its factorization.

344242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9101 (or 9085 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 344242000 is about 18553.7597268047. The cubic root of 344242000 is about 700.8438802163.

Adding to 344242000 its reverse (242443), we get a palindrome (344484443).

The spelling of 344242000 in words is "three hundred forty-four million, two hundred forty-two thousand".