34240752 has 240 divisors, whose sum is σ = 123444480. Its totient is φ = 8895744.

The previous prime is 34240751. The next prime is 34240753. The reversal of 34240752 is 25704243.

It is an interprime number because it is at equal distance from previous prime (34240751) and next prime (34240753).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34240751) 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 47 ways as a sum of consecutive naturals, for example, 511023 + ... + 511089.

It is an arithmetic number, because the mean of its divisors is an integer number (514352).

Almost surely, 2^34240752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34240752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61722240).

34240752 is an abundant number, since it is smaller than the sum of its proper divisors (89203728).

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

34240752 is a wasteful number, since it uses less digits than its factorization.

34240752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 34240752 is about 5851.5597920554. The cubic root of 34240752 is about 324.7240324003.

Adding to 34240752 its reverse (25704243), we get a palindrome (59944995).

The spelling of 34240752 in words is "thirty-four million, two hundred forty thousand, seven hundred fifty-two".