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34495928080 = 24517237315107
BaseRepresentation
bin100000001000000111…
…100001011100010000
310022001002011201020221
4200020013201130100
51031121424144310
623502555242424
72330561356615
oct401007413420
9108032151227
1034495928080
11136a2063379
126828749414
133339974383
1419535b450c
15d6d6b0ada
hex8081e1710

34495928080 has 160 divisors (see below), whose sum is σ = 89832893184. Its totient is φ = 12251086848.

The previous prime is 34495928041. The next prime is 34495928111. The reversal of 34495928080 is 8082959443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2275887 + ... + 2290993.

Almost surely, 234495928080 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 34495928080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44916446592).

34495928080 is an abundant number, since it is smaller than the sum of its proper divisors (55336965104).

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

34495928080 is a wasteful number, since it uses less digits than its factorization.

34495928080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15233 (or 15227 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 34495928080 in words is "thirty-four billion, four hundred ninety-five million, nine hundred twenty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 68 73 80 85 92 115 136 146 170 184 230 272 292 340 365 368 391 460 584 680 730 782 920 1168 1241 1360 1460 1564 1679 1840 1955 2482 2920 3128 3358 3910 4964 5840 6205 6256 6716 7820 8395 9928 12410 13432 15107 15640 16790 19856 24820 26864 28543 30214 31280 33580 49640 57086 60428 67160 75535 99280 114172 120856 134320 142715 151070 228344 241712 256819 285430 302140 347461 456688 513638 570860 604280 694922 1027276 1102811 1141720 1208560 1284095 1389844 1737305 2054552 2205622 2283440 2568190 2779688 3474610 4109104 4411244 5136380 5514055 5559376 5906837 6949220 8822488 10272760 11028110 11813674 13898440 17644976 18747787 20545520 22056220 23627348 25364653 27796880 29534185 37495574 44112440 47254696 50729306 59068370 74991148 88224880 93738935 94509392 101458612 118136740 126823265 149982296 187477870 202917224 236273480 253646530 299964592 374955740 405834448 431199101 472546960 507293060 749911480 862398202 1014586120 1499822960 1724796404 2029172240 2155995505 3449592808 4311991010 6899185616 8623982020 17247964040 34495928080