331140000 has 120 divisors (see below), whose sum is σ = 1086402240. Its totient is φ = 88288000.

The previous prime is 331139989. The next prime is 331140001. The reversal of 331140000 is 41133.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (331140001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57241 + ... + 62759.

It is an arithmetic number, because the mean of its divisors is an integer number (9053352).

Almost surely, 2^331140000 is an apocalyptic number.

331140000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543201120).

331140000 is an abundant number, since it is smaller than the sum of its proper divisors (755262240).

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

331140000 is an equidigital number, since it uses as much as digits as its factorization.

331140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5552 (or 5529 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 331140000 is about 18197.2525398754. The cubic root of 331140000 is about 691.8371541477.

Adding to 331140000 its reverse (41133), we get a palindrome (331181133).

The spelling of 331140000 in words is "three hundred thirty-one million, one hundred forty thousand".