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34817289220 = 22572979108553
BaseRepresentation
bin100000011011010001…
…011010110000000100
310022212110212112212101
4200123101122300010
51032301211223340
623554515201444
72341543034560
oct403321326004
9108773775771
1034817289220
11138474a779a
1268b82a6284
13338b410cac
1419841486a0
15d8b9ddc9a
hex81b45ac04

34817289220 has 96 divisors (see below), whose sum is σ = 87537945600. Its totient is φ = 11379723264.

The previous prime is 34817289203. The next prime is 34817289223. The reversal of 34817289220 is 2298271843.

It is not an unprimeable number, because it can be changed into a prime (34817289223) by changing a digit.

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, 266464 + ... + 375016.

It is an arithmetic number, because the mean of its divisors is an integer number (911853600).

Almost surely, 234817289220 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 34817289220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43768972800).

34817289220 is an abundant number, since it is smaller than the sum of its proper divisors (52720656380).

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

34817289220 is a wasteful number, since it uses less digits than its factorization.

34817289220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108677 (or 108675 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 34817289220 in words is "thirty-four billion, eight hundred seventeen million, two hundred eighty-nine thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 79 116 140 145 158 203 290 316 395 406 553 580 790 812 1015 1106 1580 2030 2212 2291 2765 4060 4582 5530 9164 11060 11455 16037 22910 32074 45820 64148 80185 108553 160370 217106 320740 434212 542765 759871 1085530 1519742 2171060 3039484 3148037 3799355 6296074 7598710 8575687 12592148 15197420 15740185 17151374 22036259 31480370 34302748 42878435 44072518 60029809 62960740 85756870 88145036 110181295 120059618 171513740 220362590 240119236 248694923 300149045 440725180 497389846 600298090 994779692 1200596180 1243474615 1740864461 2486949230 3481728922 4973898460 6963457844 8704322305 17408644610 34817289220