34106300226 has 48 divisors (see below), whose sum is σ = 75982039224. Its totient is φ = 11048700672.

The previous prime is 34106300203. The next prime is 34106300257. The reversal of 34106300226 is 62200360143.

34106300226 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 630 + 0 + 2 + 26 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33635193201 + 471107025 = 183399^2 + 21705^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34106300226.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554886 + ... + 613278.

Almost surely, 2^34106300226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34106300226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37991019612).

34106300226 is an abundant number, since it is smaller than the sum of its proper divisors (41875738998).

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

34106300226 is a wasteful number, since it uses less digits than its factorization.

34106300226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59315 (or 59312 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 34106300226 its reverse (62200360143), we get a palindrome (96306660369).

The spelling of 34106300226 in words is "thirty-four billion, one hundred six million, three hundred thousand, two hundred twenty-six".