34013440 has 36 divisors (see below), whose sum is σ = 81475884. Its totient is φ = 13604864.

The previous prime is 34013393. The next prime is 34013461. The reversal of 34013440 is 4431043.

It can be written as a sum of positive squares in 2 ways, for example, as 26873856 + 7139584 = 5184^2 + 2672^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12007 + ... + 14566.

It is an arithmetic number, because the mean of its divisors is an integer number (2263219).

Almost surely, 2^34013440 is an apocalyptic number.

It is an amenable number.

34013440 is an abundant number, since it is smaller than the sum of its proper divisors (47462444).

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

34013440 is an equidigital number, since it uses as much as digits as its factorization.

34013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26594 (or 26580 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 34013440 is about 5832.1042514688. The cubic root of 34013440 is about 324.0038611540.

Adding to 34013440 its reverse (4431043), we get a palindrome (38444483).

It can be divided in two parts, 34013 and 440, that added together give a triangular number (34453 = T₂₆₂).

The spelling of 34013440 in words is "thirty-four million, thirteen thousand, four hundred forty".