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34199974704 = 2437833973089
BaseRepresentation
bin11111110110011110…
…100011001100110000
310021021110021201112210
4133312132203030300
51030020143142304
623413344052120
72320335663030
oct376636431460
9107243251483
1034199974704
111355aaa3205
126765604040
1332c056242c
1419261758c0
15d52700c89
hex7f67a3330

34199974704 has 160 divisors (see below), whose sum is σ = 102478440960. Its totient is φ = 9626259456.

The previous prime is 34199974691. The next prime is 34199974709. The reversal of 34199974704 is 40747999143.

It is not an unprimeable number, because it can be changed into a prime (34199974709) 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, 11069992 + ... + 11073080.

It is an arithmetic number, because the mean of its divisors is an integer number (640490256).

Almost surely, 234199974704 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 34199974704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51239220480).

34199974704 is an abundant number, since it is smaller than the sum of its proper divisors (68278466256).

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

34199974704 is a wasteful number, since it uses less digits than its factorization.

34199974704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The spelling of 34199974704 in words is "thirty-four billion, one hundred ninety-nine million, nine hundred seventy-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 83 84 112 166 168 249 332 336 397 498 581 664 794 996 1162 1191 1328 1588 1743 1992 2324 2382 2779 3089 3176 3486 3984 4648 4764 5558 6178 6352 6972 8337 9267 9296 9528 11116 12356 13944 16674 18534 19056 21623 22232 24712 27888 32951 33348 37068 43246 44464 49424 64869 65902 66696 74136 86492 98853 129738 131804 133392 148272 172984 197706 230657 256387 259476 263608 345968 395412 461314 512774 518952 527216 691971 769161 790824 922628 1025548 1037904 1226333 1383942 1538322 1581648 1794709 1845256 2051096 2452666 2767884 3076644 3589418 3678999 3690512 4102192 4905332 5384127 5535768 6153288 7178836 7357998 8584331 9810664 10768254 11071536 12306576 14357672 14715996 17168662 19621328 21536508 25752993 28715344 29431992 34337324 43073016 51505986 58863984 68674648 86146032 101785639 103011972 137349296 203571278 206023944 305356917 407142556 412047888 610713834 712499473 814285112 1221427668 1424998946 1628570224 2137498419 2442855336 2849997892 4274996838 4885710672 5699995784 8549993676 11399991568 17099987352 34199974704