334006272 has 72 divisors (see below), whose sum is σ = 964724670. Its totient is φ = 111329280.

The previous prime is 334006261. The next prime is 334006273. The reversal of 334006272 is 272600433.

334006272 is a `hidden beast` number, since 3 + 34 + 0 + 0 + 627 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 301925376 + 32080896 = 17376^2 + 5664^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×334006272² = 223120379470675968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334006273) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9372 + ... + 27492.

Almost surely, 2^334006272 is an apocalyptic number.

334006272 is a gapful number since it is divisible by the number (32) 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 334006272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482362335).

334006272 is an abundant number, since it is smaller than the sum of its proper divisors (630718398).

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

334006272 is a wasteful number, since it uses less digits than its factorization.

334006272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18149 (or 18126 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 334006272 is about 18275.8384759770. The cubic root of 334006272 is about 693.8275503276.

The spelling of 334006272 in words is "three hundred thirty-four million, six thousand, two hundred seventy-two".