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34723316680 = 235131733111867
BaseRepresentation
bin100000010101101010…
…111100001111001000
310022121221001020202221
4200111222330033020
51032103132113210
623541321103424
72336322215263
oct402552741710
9108557036687
1034723316680
11137a9452838
126890927b74
133374acab40
141975885cda
15d8362a1da
hex815abc3c8

34723316680 has 128 divisors (see below), whose sum is σ = 89363191680. Its totient is φ = 12029276160.

The previous prime is 34723316651. The next prime is 34723316701. The reversal of 34723316680 is 8661332743.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2920107 + ... + 2931973.

It is an arithmetic number, because the mean of its divisors is an integer number (698149935).

Almost surely, 234723316680 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 34723316680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44681595840).

34723316680 is an abundant number, since it is smaller than the sum of its proper divisors (54639875000).

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

34723316680 is a wasteful number, since it uses less digits than its factorization.

34723316680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12239 (or 12235 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 43.

The spelling of 34723316680 in words is "thirty-four billion, seven hundred twenty-three million, three hundred sixteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 331 340 442 520 662 680 884 1105 1324 1655 1768 2210 2648 3310 4303 4420 5627 6620 8606 8840 11254 11867 13240 17212 21515 22508 23734 28135 34424 43030 45016 47468 56270 59335 73151 86060 94936 112540 118670 146302 154271 172120 201739 225080 237340 292604 308542 365755 403478 474680 585208 617084 731510 771355 806956 1008695 1234168 1463020 1542710 1613912 2017390 2622607 2926040 3085420 3927977 4034780 5245214 6170840 7855954 8069560 10490428 13113035 15711908 19639885 20980856 26226070 31423816 39279770 51063701 52452140 66775609 78559540 102127402 104904280 133551218 157119080 204254804 255318505 267102436 333878045 408509608 510637010 534204872 667756090 868082917 1021274020 1335512180 1736165834 2042548040 2671024360 3472331668 4340414585 6944663336 8680829170 17361658340 34723316680