331032330 has 144 divisors (see below), whose sum is σ = 954986760. Its totient is φ = 79276032.

The previous prime is 331032301. The next prime is 331032337. The reversal of 331032330 is 33230133.

331032330 is a `hidden beast` number, since 3 + 310 + 323 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 329313609 + 1718721 = 18147^2 + 1311^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (331032337) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 809166 + ... + 809574.

Almost surely, 2^331032330 is an apocalyptic number.

331032330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 331032330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477493380).

331032330 is an abundant number, since it is smaller than the sum of its proper divisors (623954430).

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

331032330 is a wasteful number, since it uses less digits than its factorization.

331032330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 331032330 is about 18194.2938857214. The cubic root of 331032330 is about 691.7621625215.

Adding to 331032330 its reverse (33230133), we get a palindrome (364262463).

The spelling of 331032330 in words is "three hundred thirty-one million, thirty-two thousand, three hundred thirty".