34306272 has 432 divisors, whose sum is σ = 141169392. Its totient is φ = 7741440.

The previous prime is 34306249. The next prime is 34306273. The reversal of 34306272 is 27260343.

34306272 is a `hidden beast` number, since 3 + 4 + 30 + 627 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34306273) 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 71 ways as a sum of consecutive naturals, for example, 2018008 + ... + 2018024.

It is an arithmetic number, because the mean of its divisors is an integer number (326781).

Almost surely, 2^34306272 is an apocalyptic number.

34306272 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 34306272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70584696).

34306272 is an abundant number, since it is smaller than the sum of its proper divisors (106863120).

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

34306272 is a wasteful number, since it uses less digits than its factorization.

34306272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 53 counting only the distinct ones).

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

The square root of 34306272 is about 5857.1556236795. The cubic root of 34306272 is about 324.9310212583.

The spelling of 34306272 in words is "thirty-four million, three hundred six thousand, two hundred seventy-two".