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343141340220 = 2232572271199711
BaseRepresentation
bin1001111111001001101…
…00010101010000111100
31012210201002222011220200
410333210310111100330
521110223140341340
6421345325443500
733535235160420
oct4774464252074
91183632864820
10343141340220
11122586382788
1256605410590
1326486951a63
14128729c8b80
158dd4d58330
hex4fe4d1543c

343141340220 has 144 divisors (see below), whose sum is σ = 1194797979648. Its totient is φ = 78086724480.

The previous prime is 343141340219. The next prime is 343141340231. The reversal of 343141340220 is 22043141343.

343141340220 is a `hidden beast` number, since 3 + 4 + 314 + 1 + 340 + 2 + 2 + 0 = 666.

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, 313836 + ... + 885875.

It is an arithmetic number, because the mean of its divisors is an integer number (8297208192).

Almost surely, 2343141340220 is an apocalyptic number.

343141340220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343141340220 is an abundant number, since it is smaller than the sum of its proper divisors (851656639428).

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

343141340220 is a wasteful number, since it uses less digits than its factorization.

343141340220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199960 (or 1199955 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 343141340220 its reverse (22043141343), we get a palindrome (365184481563).

The spelling of 343141340220 in words is "three hundred forty-three billion, one hundred forty-one million, three hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 227 252 315 420 454 630 681 908 1135 1260 1362 1589 2043 2270 2724 3178 3405 4086 4540 4767 6356 6810 7945 8172 9534 10215 13620 14301 15890 19068 20430 23835 28602 31780 40860 47670 57204 71505 95340 143010 286020 1199711 2399422 3599133 4798844 5998555 7198266 8397977 10797399 11997110 14396532 16795954 17995665 21594798 23994220 25193931 33591908 35991330 41989885 43189596 50387862 53986995 71982660 75581793 83979770 100775724 107973990 125969655 151163586 167959540 215947980 251939310 272334397 302327172 377908965 503878620 544668794 755817930 817003191 1089337588 1361671985 1511635860 1634006382 1906340779 2451009573 2723343970 3268012764 3812681558 4085015955 4902019146 5446687940 5719022337 7625363116 8170031910 9531703895 9804038292 11438044674 12255047865 16340063820 17157067011 19063407790 22876089348 24510095730 28595111685 34314134022 38126815580 49020191460 57190223370 68628268044 85785335055 114380446740 171570670110 343141340220