34506240 has 80 divisors (see below), whose sum is σ = 110336688. Its totient is φ = 9199616.

The previous prime is 34506221. The next prime is 34506247. The reversal of 34506240 is 4260543.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 34506240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34506247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5434 + ... + 9926.

Almost surely, 2^34506240 is an apocalyptic number.

34506240 is a gapful number since it is divisible by the number (30) 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 34506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55168344).

34506240 is an abundant number, since it is smaller than the sum of its proper divisors (75830448).

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

34506240 is an equidigital number, since it uses as much as digits as its factorization.

34506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4519 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 34506240 is about 5874.2012222940. The cubic root of 34506240 is about 325.5611292432.

Adding to 34506240 its reverse (4260543), we get a palindrome (38766783).

The spelling of 34506240 in words is "thirty-four million, five hundred six thousand, two hundred forty".