333334040 has 64 divisors (see below), whose sum is σ = 811036800. Its totient is φ = 122568192.

The previous prime is 333334039. The next prime is 333334049. The reversal of 333334040 is 40433333.

It is a super-2 number, since 2×333334040² = 222223164445443200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 333333997 and 333334015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333334049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138689 + ... + 141071.

It is an arithmetic number, because the mean of its divisors is an integer number (12672450).

Almost surely, 2^333334040 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 333334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405518400).

333334040 is an abundant number, since it is smaller than the sum of its proper divisors (477702760).

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

333334040 is a wasteful number, since it uses less digits than its factorization.

333334040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 23.

The square root of 333334040 is about 18257.4379363590. The cubic root of 333334040 is about 693.3617643256.

Adding to 333334040 its reverse (40433333), we get a palindrome (373767373).

It can be divided in two parts, 33333 and 4040, that added together give a palindrome (37373).

The spelling of 333334040 in words is "three hundred thirty-three million, three hundred thirty-four thousand, forty".