34249152 has 112 divisors (see below), whose sum is σ = 109728000. Its totient is φ = 9203712.

The previous prime is 34249147. The next prime is 34249177. The reversal of 34249152 is 25194243.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22099 + ... + 23597.

Almost surely, 2^34249152 is an apocalyptic number.

34249152 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 34249152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54864000).

34249152 is an abundant number, since it is smaller than the sum of its proper divisors (75478848).

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

34249152 is a wasteful number, since it uses less digits than its factorization.

34249152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1528 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 34249152 is about 5852.2775053820. The cubic root of 34249152 is about 324.7505841814.

It can be divided in two parts, 342 and 49152, that added together give a palindrome (49494).

The spelling of 34249152 in words is "thirty-four million, two hundred forty-nine thousand, one hundred fifty-two".