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34640412246 = 2321129371031583
BaseRepresentation
bin100000010000101110…
…101011111001010110
310022102011001021021100
4200100232223321112
51031420421142441
623525200130530
72334264434346
oct402056537126
9108364037240
1034640412246
1113766678480
126869006a46
13336089176b
141968864d26
15d7b200cb6
hex810babe56

34640412246 has 192 divisors, whose sum is σ = 87889950720. Its totient is φ = 9759294720.

The previous prime is 34640412239. The next prime is 34640412299. The reversal of 34640412246 is 64221404643.

34640412246 is a `hidden beast` number, since 3 + 4 + 6 + 404 + 1 + 2 + 246 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34640412246.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21881971 + ... + 21883553.

It is an arithmetic number, because the mean of its divisors is an integer number (457760160).

Almost surely, 234640412246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34640412246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43944975360).

34640412246 is an abundant number, since it is smaller than the sum of its proper divisors (53249538474).

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

34640412246 is a wasteful number, since it uses less digits than its factorization.

34640412246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 34640412246 its reverse (64221404643), we get a palindrome (98861816889).

The spelling of 34640412246 in words is "thirty-four billion, six hundred forty million, four hundred twelve thousand, two hundred forty-six".