330013314 has 24 divisors (see below), whose sum is σ = 727150320. Its totient is φ = 108139608.

The previous prime is 330013297. The next prime is 330013319. The reversal of 330013314 is 413310033.

330013314 is a `hidden beast` number, since 330 + 0 + 1 + 331 + 4 = 666.

It is a super-4 number, since 4×330013314⁴ (a number of 35 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (330013319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154312 + ... + 156435.

It is an arithmetic number, because the mean of its divisors is an integer number (30297930).

Almost surely, 2^330013314 is an apocalyptic number.

330013314 is an abundant number, since it is smaller than the sum of its proper divisors (397137006).

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

330013314 is a wasteful number, since it uses less digits than its factorization.

330013314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310814 (or 310811 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 330013314 is about 18166.2685766780. The cubic root of 330013314 is about 691.0516163483.

Adding to 330013314 its reverse (413310033), we get a palindrome (743323347).

It can be divided in two parts, 33001 and 3314, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 330013314 in words is "three hundred thirty million, thirteen thousand, three hundred fourteen".