330030 has 48 divisors (see below), whose sum is σ = 907920. Its totient is φ = 82944.

The previous prime is 330019. The next prime is 330037. The reversal of 330030 is 30033.

330030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 329994 and 330021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330037) by changing a digit.

330030 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1614 + ... + 1806.

It is an arithmetic number, because the mean of its divisors is an integer number (18915).

2³³⁰⁰³⁰ is an apocalyptic number.

330030 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 330030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453960).

330030 is an abundant number, since it is smaller than the sum of its proper divisors (577890).

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

330030 is a wasteful number, since it uses less digits than its factorization.

330030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 9.

The square root of 330030 is about 574.4823757088. The cubic root of 330030 is about 69.1063263043.

Adding to 330030 its reverse (30033), we get a palindrome (360063).

The spelling of 330030 in words is "three hundred thirty thousand, thirty".