34242432 has 64 divisors (see below), whose sum is σ = 103958400. Its totient is φ = 9782784.

The previous prime is 34242407. The next prime is 34242443. The reversal of 34242432 is 23424243.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3682 + ... + 9057.

It is an arithmetic number, because the mean of its divisors is an integer number (1624350).

Almost surely, 2^34242432 is an apocalyptic number.

34242432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34242432 is an abundant number, since it is smaller than the sum of its proper divisors (69715968).

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

34242432 is a wasteful number, since it uses less digits than its factorization.

34242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12763 (or 12751 counting only the distinct ones).

The product of its digits is 4608, while the sum is 24.

The square root of 34242432 is about 5851.7033417630. The cubic root of 34242432 is about 324.7293431039.

Adding to 34242432 its reverse (23424243), we get a palindrome (57666675).

It can be divided in two parts, 3424243 and 2, that multiplied together give a palindrome (6848486).

The spelling of 34242432 in words is "thirty-four million, two hundred forty-two thousand, four hundred thirty-two".