34590240 has 240 divisors, whose sum is σ = 130078872. Its totient is φ = 8626176.

The previous prime is 34590239. The next prime is 34590253. The reversal of 34590240 is 4209543.

34590240 is a `hidden beast` number, since 34 + 590 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28772496 + 5817744 = 5364^2 + 2412^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

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 39 ways as a sum of consecutive naturals, for example, 220242 + ... + 220398.

Almost surely, 2^34590240 is an apocalyptic number.

34590240 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 34590240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65039436).

34590240 is an abundant number, since it is smaller than the sum of its proper divisors (95488632).

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

34590240 is a wasteful number, since it uses less digits than its factorization.

34590240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 34590240 is about 5881.3467845384. The cubic root of 34590240 is about 325.8250909118.

Adding to 34590240 its reverse (4209543), we get a palindrome (38799783).

The spelling of 34590240 in words is "thirty-four million, five hundred ninety thousand, two hundred forty".