334406040 has 64 divisors (see below), whose sum is σ = 1010590560. Its totient is φ = 88519680.

The previous prime is 334406029. The next prime is 334406053. The reversal of 334406040 is 40604433.

It is a super-2 number, since 2×334406040² = 223654799176963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 334406040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6270 + ... + 26610.

Almost surely, 2^334406040 is an apocalyptic number.

334406040 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 334406040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505295280).

334406040 is an abundant number, since it is smaller than the sum of its proper divisors (676184520).

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

334406040 is a wasteful number, since it uses less digits than its factorization.

334406040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20492 (or 20488 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 334406040 is about 18286.7722685005. The cubic root of 334406040 is about 694.1042511849.

The spelling of 334406040 in words is "three hundred thirty-four million, four hundred six thousand, forty".