333332940 has 96 divisors (see below), whose sum is σ = 994472640. Its totient is φ = 83132416.

The previous prime is 333332939. The next prime is 333332969. The reversal of 333332940 is 49233333.

It is a super-2 number, since 2×333332940² = 222221697778087200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 333332898 and 333332907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175516 + ... + 177404.

It is an arithmetic number, because the mean of its divisors is an integer number (10359090).

Almost surely, 2^333332940 is an apocalyptic number.

333332940 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 333332940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497236320).

333332940 is an abundant number, since it is smaller than the sum of its proper divisors (661139700).

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

333332940 is a wasteful number, since it uses less digits than its factorization.

333332940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 30.

The square root of 333332940 is about 18257.4078116254. The cubic root of 333332940 is about 693.3610016284.

The spelling of 333332940 in words is "three hundred thirty-three million, three hundred thirty-two thousand, nine hundred forty".