34533252 has 72 divisors (see below), whose sum is σ = 94984344. Its totient is φ = 10515456.

The previous prime is 34533251. The next prime is 34533253. The reversal of 34533252 is 25233543.

34533252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34533251) and next prime (34533253).

It can be written as a sum of positive squares in 4 ways, for example, as 2452356 + 32080896 = 1566^2 + 5664^2 .

It is not an unprimeable number, because it can be changed into a prime (34533251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52558 + ... + 53210.

It is an arithmetic number, because the mean of its divisors is an integer number (1319227).

Almost surely, 2^34533252 is an apocalyptic number.

It is a pronic number, being equal to 5876×5877.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34533252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47492172).

34533252 is an abundant number, since it is smaller than the sum of its proper divisors (60451092).

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

34533252 is a wasteful number, since it uses less digits than its factorization.

34533252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 784 counting only the distinct ones).

The product of its digits is 10800, while the sum is 27.

The square root of 34533252 is about 5876.4999787288. The cubic root of 34533252 is about 325.6460584571.

Adding to 34533252 its reverse (25233543), we get a palindrome (59766795).

The spelling of 34533252 in words is "thirty-four million, five hundred thirty-three thousand, two hundred fifty-two".