34005240 has 96 divisors (see below), whose sum is σ = 112460400. Its totient is φ = 8908800.

The previous prime is 34005211. The next prime is 34005263. The reversal of 34005240 is 4250043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 20440 + ... + 22040.

Almost surely, 2^34005240 is an apocalyptic number.

34005240 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 34005240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56230200).

34005240 is an abundant number, since it is smaller than the sum of its proper divisors (78455160).

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

34005240 is a wasteful number, since it uses less digits than its factorization.

34005240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 34005240 is about 5831.4012038274. The cubic root of 34005240 is about 323.9778219844.

Adding to 34005240 its reverse (4250043), we get a palindrome (38255283).

The spelling of 34005240 in words is "thirty-four million, five thousand, two hundred forty".