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34355530230 = 2357249147599
BaseRepresentation
bin11111111111101111…
…111100100111110110
310021200021222202121120
4133333233330213312
51030330003431410
623441022124410
72324235121500
oct377757744766
9107607882546
1034355530230
111362a88a39a
1267a9720706
133316857c18
14193caa8d70
15d611cb570
hex7ffbfc9f6

34355530230 has 96 divisors (see below), whose sum is σ = 96112396800. Its totient is φ = 7836534720.

The previous prime is 34355530207. The next prime is 34355530247. The reversal of 34355530230 is 3203555343.

It is a junction number, because it is equal to n+sod(n) for n = 34355530191 and 34355530200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 697971 + ... + 745569.

It is an arithmetic number, because the mean of its divisors is an integer number (1001170800).

Almost surely, 234355530230 is an apocalyptic number.

34355530230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34355530230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48056198400).

34355530230 is an abundant number, since it is smaller than the sum of its proper divisors (61756866570).

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

34355530230 is a wasteful number, since it uses less digits than its factorization.

34355530230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48114 (or 48107 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 33.

The spelling of 34355530230 in words is "thirty-four billion, three hundred fifty-five million, five hundred thirty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 491 735 982 1470 1473 2455 2946 3437 4910 6874 7365 10311 14730 17185 20622 24059 34370 47599 48118 51555 72177 95198 103110 120295 142797 144354 237995 240590 285594 333193 360885 475990 666386 713985 721770 999579 1427970 1665965 1999158 2332351 3331930 4664702 4997895 6997053 9995790 11661755 13994106 23323510 23371109 34985265 46742218 69970530 70113327 116855545 140226654 163597763 233711090 327195526 350566635 490793289 701133270 817988815 981586578 1145184341 1635977630 2290368682 2453966445 3435553023 4907932890 5725921705 6871106046 11451843410 17177765115 34355530230