34253312 has 40 divisors (see below), whose sum is σ = 69052500. Its totient is φ = 16973824.

The previous prime is 34253299. The next prime is 34253339. The reversal of 34253312 is 21335243.

It can be written as a sum of positive squares in 2 ways, for example, as 33362176 + 891136 = 5776^2 + 944^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76064 + ... + 76512.

Almost surely, 2^34253312 is an apocalyptic number.

34253312 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 34253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34526250).

34253312 is an abundant number, since it is smaller than the sum of its proper divisors (34799188).

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

34253312 is an equidigital number, since it uses as much as digits as its factorization.

34253312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 600 counting only the distinct ones).

The product of its digits is 2160, while the sum is 23.

The square root of 34253312 is about 5852.6329117757. The cubic root of 34253312 is about 324.7637320274.

Adding to 34253312 its reverse (21335243), we get a palindrome (55588555).

The spelling of 34253312 in words is "thirty-four million, two hundred fifty-three thousand, three hundred twelve".