330011140 has 72 divisors (see below), whose sum is σ = 755221320. Its totient is φ = 120711168.

The previous prime is 330011093. The next prime is 330011161. The reversal of 330011140 is 41110033.

It can be written as a sum of positive squares in 12 ways, for example, as 1459264 + 328551876 = 1208^2 + 18126^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 330011140.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465106 + ... + 465814.

It is an arithmetic number, because the mean of its divisors is an integer number (10489185).

Almost surely, 2^330011140 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 330011140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377610660).

330011140 is an abundant number, since it is smaller than the sum of its proper divisors (425210180).

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

330011140 is a wasteful number, since it uses less digits than its factorization.

330011140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 330011140 is about 18166.2087404059. The cubic root of 330011140 is about 691.0500988848.

Adding to 330011140 its reverse (41110033), we get a palindrome (371121173).

The spelling of 330011140 in words is "three hundred thirty million, eleven thousand, one hundred forty".