334251040 has 96 divisors (see below), whose sum is σ = 850893120. Its totient is φ = 123669504.

The previous prime is 334251037. The next prime is 334251041. The reversal of 334251040 is 40152433.

It is a super-2 number, since 2×334251040² = 223447515482163200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334251041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129442 + ... + 131998.

It is an arithmetic number, because the mean of its divisors is an integer number (8863470).

Almost surely, 2^334251040 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 334251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425446560).

334251040 is an abundant number, since it is smaller than the sum of its proper divisors (516642080).

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

334251040 is a wasteful number, since it uses less digits than its factorization.

334251040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 334251040 is about 18282.5337412515. The cubic root of 334251040 is about 693.9969935672.

The spelling of 334251040 in words is "three hundred thirty-four million, two hundred fifty-one thousand, forty".