34144506 has 72 divisors (see below), whose sum is σ = 82971252. Its totient is φ = 10137600.

The previous prime is 34144499. The next prime is 34144529. The reversal of 34144506 is 60544143.

It can be written as a sum of positive squares in 2 ways, for example, as 34117281 + 27225 = 5841^2 + 165^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34144506.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 132730 + ... + 132986.

Almost surely, 2^34144506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34144506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41485626).

34144506 is an abundant number, since it is smaller than the sum of its proper divisors (48826746).

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

34144506 is a wasteful number, since it uses less digits than its factorization.

34144506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 34144506 is about 5843.3300437336. The cubic root of 34144506 is about 324.4194954944.

Adding to 34144506 its reverse (60544143), we get a palindrome (94688649).

The spelling of 34144506 in words is "thirty-four million, one hundred forty-four thousand, five hundred six".