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34505000840 = 235431271371153
BaseRepresentation
bin100000001000101010…
…001000011110001000
310022001201020122202002
4200020222020132020
51031131240011330
623503521530132
72331031445042
oct401052103610
9108051218662
1034505000840
11136a719a922
12682b7a3948
13333b7ccb7b
141954896a92
15d6e3a3e45
hex808a88788

34505000840 has 128 divisors (see below), whose sum is σ = 80721653760. Its totient is φ = 13265731584.

The previous prime is 34505000839. The next prime is 34505000851. The reversal of 34505000840 is 4800050543.

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, 29925704 + ... + 29926856.

It is an arithmetic number, because the mean of its divisors is an integer number (630637920).

Almost surely, 234505000840 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 34505000840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40360826880).

34505000840 is an abundant number, since it is smaller than the sum of its proper divisors (46216652920).

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

34505000840 is a wasteful number, since it uses less digits than its factorization.

34505000840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The spelling of 34505000840 in words is "thirty-four billion, five hundred five million, eight hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 43 86 127 137 172 215 254 274 344 430 508 548 635 685 860 1016 1096 1153 1270 1370 1720 2306 2540 2740 4612 5080 5461 5480 5765 5891 9224 10922 11530 11782 17399 21844 23060 23564 27305 29455 34798 43688 46120 47128 49579 54610 58910 69596 86995 99158 109220 117820 139192 146431 157961 173990 198316 218440 235640 247895 292862 315922 347980 396632 495790 585724 631844 695960 732155 748157 789805 991580 1171448 1263688 1464310 1496314 1579610 1983160 2928620 2992628 3159220 3740785 5857240 5985256 6296533 6318440 6792323 7481570 12593066 13584646 14963140 20061047 25186132 27169292 29926280 31482665 33961615 40122094 50372264 54338584 62965330 67923230 80244188 100305235 125930660 135846460 160488376 200610470 251861320 271692920 401220940 802441880 862625021 1725250042 3450500084 4313125105 6901000168 8626250210 17252500420 34505000840