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342100340676 = 2236443264827
BaseRepresentation
bin1001111101001101100…
…01001110111111000100
31012201000120010221000000
410332212301032333010
521101110141400201
6421054141321300
733500364626343
oct4764661167704
91181016127000
10342100340676
111220a17a6386
1256374866230
132634c08b0b3
14127b4647b5a
158d73778d86
hex4fa6c4efc4

342100340676 has 84 divisors (see below), whose sum is σ = 899632368432. Its totient is φ = 113775605424.

The previous prime is 342100340651. The next prime is 342100340707. The reversal of 342100340676 is 676043001243.

It is a happy number.

342100340676 is a `hidden beast` number, since 34 + 210 + 0 + 3 + 406 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 342100340676.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1159375 + ... + 1424201.

It is an arithmetic number, because the mean of its divisors is an integer number (10709909148).

Almost surely, 2342100340676 is an apocalyptic number.

342100340676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342100340676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449816184216).

342100340676 is an abundant number, since it is smaller than the sum of its proper divisors (557532027756).

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

342100340676 is a wasteful number, since it uses less digits than its factorization.

342100340676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265292 (or 265275 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 342100340676 in words is "three hundred forty-two billion, one hundred million, three hundred forty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 443 486 729 886 972 1329 1458 1772 2658 2916 3987 5316 7974 11961 15948 23922 35883 47844 71766 107649 143532 215298 264827 322947 430596 529654 645894 794481 1059308 1291788 1588962 2383443 3177924 4766886 7150329 9533772 14300658 21450987 28601316 42901974 64352961 85803948 117318361 128705922 193058883 234636722 257411844 351955083 386117766 469273444 703910166 772235532 1055865249 1407820332 2111730498 3167595747 4223460996 6335191494 9502787241 12670382988 19005574482 28508361723 38011148964 57016723446 85525085169 114033446892 171050170338 342100340676