34333152 has 96 divisors (see below), whose sum is σ = 108460800. Its totient is φ = 9289728.

The previous prime is 34333121. The next prime is 34333157. The reversal of 34333152 is 25133343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34333157) 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 15 ways as a sum of consecutive naturals, for example, 11424 + ... + 14112.

It is an arithmetic number, because the mean of its divisors is an integer number (1129800).

Almost surely, 2^34333152 is an apocalyptic number.

34333152 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 34333152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54230400).

34333152 is an abundant number, since it is smaller than the sum of its proper divisors (74127648).

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

34333152 is a wasteful number, since it uses less digits than its factorization.

34333152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2720 counting only the distinct ones).

The product of its digits is 3240, while the sum is 24.

The square root of 34333152 is about 5859.4498035225. The cubic root of 34333152 is about 325.0158635255.

Adding to 34333152 its reverse (25133343), we get a palindrome (59466495).

The spelling of 34333152 in words is "thirty-four million, three hundred thirty-three thousand, one hundred fifty-two".