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342587868900 = 223529711772779
BaseRepresentation
bin1001111110000111101…
…01000000011011100100
31012202021112111220222220
410333003311000123210
521103104443301100
6421214354552340
733515434560414
oct4770365003344
91182245456886
10342587868900
11122321a14572
125648bb986b0
13263c9097534
141281d2b4644
158da147baa0
hex4fc3d406e4

342587868900 has 72 divisors (see below), whose sum is σ = 1001439757920. Its totient is φ = 90414935040.

The previous prime is 342587868851. The next prime is 342587868913. The reversal of 342587868900 is 9868785243.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5857290 + ... + 5915489.

Almost surely, 2342587868900 is an apocalyptic number.

342587868900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342587868900 is an abundant number, since it is smaller than the sum of its proper divisors (658851889020).

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

342587868900 is a wasteful number, since it uses less digits than its factorization.

342587868900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11772893 (or 11772886 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 342587868900 in words is "three hundred forty-two billion, five hundred eighty-seven million, eight hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 291 300 388 485 582 970 1164 1455 1940 2425 2910 4850 5820 7275 9700 14550 29100 11772779 23545558 35318337 47091116 58863895 70636674 117727790 141273348 176591685 235455580 294319475 353183370 588638950 706366740 882958425 1141959563 1177277900 1765916850 2283919126 3425878689 3531833700 4567838252 5709797815 6851757378 11419595630 13703514756 17129393445 22839191260 28548989075 34258786890 57097978150 68517573780 85646967225 114195956300 171293934450 342587868900