331342000 has 80 divisors (see below), whose sum is σ = 874077984. Its totient is φ = 120480000.

The previous prime is 331341977. The next prime is 331342013. The reversal of 331342000 is 243133.

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 (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14470 + ... + 29530.

Almost surely, 2^331342000 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 331342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437038992).

331342000 is an abundant number, since it is smaller than the sum of its proper divisors (542735984).

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

331342000 is a wasteful number, since it uses less digits than its factorization.

331342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15095 (or 15079 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 331342000 is about 18202.8019821125. The cubic root of 331342000 is about 691.9778023107.

Adding to 331342000 its reverse (243133), we get a palindrome (331585133).

The spelling of 331342000 in words is "three hundred thirty-one million, three hundred forty-two thousand".