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34235861716 = 22731971492729
BaseRepresentation
bin11111111000100111…
…011100101011010100
310021100221210222021101
4133320213130223110
51030103340033331
623421105155444
72321253010630
oct377047345324
9107327728241
1034235861716
11135792846a1
12677562bb84
1332c7b18b54
14192ac37dc0
15d5593e061
hex7f89dcad4

34235861716 has 96 divisors (see below), whose sum is σ = 71914752000. Its totient is φ = 13953392640.

The previous prime is 34235861707. The next prime is 34235861717. The reversal of 34235861716 is 61716853243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34235861717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12543840 + ... + 12546568.

It is an arithmetic number, because the mean of its divisors is an integer number (749112000).

Almost surely, 234235861716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34235861716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35957376000).

34235861716 is an abundant number, since it is smaller than the sum of its proper divisors (37678890284).

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

34235861716 is a wasteful number, since it uses less digits than its factorization.

34235861716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 3015 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The spelling of 34235861716 in words is "thirty-four billion, two hundred thirty-five million, eight hundred sixty-one thousand, seven hundred sixteen".

Divisors: 1 2 4 7 14 28 31 62 97 124 149 194 217 298 388 434 596 679 868 1043 1358 2086 2716 2729 3007 4172 4619 5458 6014 9238 10916 12028 14453 18476 19103 21049 28906 32333 38206 42098 57812 64666 76412 84196 84599 101171 129332 169198 202342 264713 338396 404684 406621 448043 529426 592193 813242 896086 1058852 1184386 1626484 1792172 1852991 2368772 2846347 3136301 3705982 5692694 6272602 7411964 8206103 11385388 12545204 12605251 16412206 25210502 32824412 39442237 50421004 57442721 78884474 88236757 114885442 157768948 176473514 229770884 276095659 352947028 552191318 1104382636 1222709347 2445418694 4890837388 8558965429 17117930858 34235861716