330031140 has 192 divisors, whose sum is σ = 1043159040. Its totient is φ = 77552640.

The previous prime is 330031087. The next prime is 330031147. The reversal of 330031140 is 41130033.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (330031147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1074867 + ... + 1075173.

It is an arithmetic number, because the mean of its divisors is an integer number (5433120).

Almost surely, 2^330031140 is an apocalyptic number.

330031140 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 330031140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521579520).

330031140 is an abundant number, since it is smaller than the sum of its proper divisors (713127900).

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

330031140 is a wasteful number, since it uses less digits than its factorization.

330031140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 330031140 is about 18166.7592046573. The cubic root of 330031140 is about 691.0640587396.

Adding to 330031140 its reverse (41130033), we get a palindrome (371161173).

It can be divided in two parts, 33003 and 1140, that added together give a palindrome (34143).

The spelling of 330031140 in words is "three hundred thirty million, thirty-one thousand, one hundred forty".