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34688830480 = 24517197916993
BaseRepresentation
bin100000010011100111…
…011000110000010000
310022112112011011121021
4200103213120300100
51032020320033410
623534050005224
72335423123363
oct402347306020
9108475134537
1034688830480
1113790a38847
126881276814
13336a914bc5
14197106a0da
15d805b6eda
hex8139d8c10

34688830480 has 160 divisors (see below), whose sum is σ = 91033459200. Its totient is φ = 12214665216.

The previous prime is 34688830447. The next prime is 34688830541. The reversal of 34688830480 is 8403888643.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2032864 + ... + 2049856.

It is an arithmetic number, because the mean of its divisors is an integer number (568959120).

Almost surely, 234688830480 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 34688830480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45516729600).

34688830480 is an abundant number, since it is smaller than the sum of its proper divisors (56344628720).

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

34688830480 is a wasteful number, since it uses less digits than its factorization.

34688830480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17121 (or 17115 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 52.

The spelling of 34688830480 in words is "thirty-four billion, six hundred eighty-eight million, eight hundred thirty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 38 40 68 76 79 80 85 95 136 152 158 170 190 272 304 316 323 340 380 395 632 646 680 760 790 1264 1292 1343 1360 1501 1520 1580 1615 2584 2686 3002 3160 3230 5168 5372 6004 6320 6460 6715 7505 10744 12008 12920 13430 15010 16993 21488 24016 25517 25840 26860 30020 33986 51034 53720 60040 67972 84965 102068 107440 120080 127585 135944 169930 204136 255170 271888 288881 322867 339860 408272 510340 577762 645734 679720 1020680 1155524 1291468 1342447 1359440 1444405 1614335 2041360 2311048 2582936 2684894 2888810 3228670 4622096 5165872 5369788 5488739 5777620 6457340 6712235 10739576 10977478 11555240 12914680 13424470 21479152 21954956 22821599 23110480 25506493 25829360 26848940 27443695 43909912 45643198 51012986 53697880 54887390 87819824 91286396 102025972 107395760 109774780 114107995 127532465 182572792 204051944 219549560 228215990 255064930 365145584 408103888 433610381 439099120 456431980 510129860 867220762 912863960 1020259720 1734441524 1825727920 2040519440 2168051905 3468883048 4336103810 6937766096 8672207620 17344415240 34688830480