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343842494954368 = 2779892861133541
BaseRepresentation
bin100111000101110010001000…
…1110001010011101110000000
31200002110000120200000222002011
41032023210101301103232000
5330032003412202014433
63215143021142502304
7132265541363666164
oct11613442161235600
91602400520028064
10343842494954368
119a6168684a0163
1232692b8ba34994
13119b22923b2047
1460ca0cbc36ca4
1529b41ebb293cd
hex138b911c53b80

343842494954368 has 128 divisors (see below), whose sum is σ = 701714066544000. Its totient is φ = 167777861222400.

The previous prime is 343842494954347. The next prime is 343842494954443. The reversal of 343842494954368 is 863459494248343.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3438424949543682 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 343842494954294 and 343842494954303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2574741678 + ... + 2574875218.

It is an arithmetic number, because the mean of its divisors is an integer number (5482141144875).

Almost surely, 2343842494954368 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 343842494954368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350857033272000).

343842494954368 is an abundant number, since it is smaller than the sum of its proper divisors (357871571589632).

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

343842494954368 is a wasteful number, since it uses less digits than its factorization.

343842494954368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136584 (or 136572 counting only the distinct ones).

The product of its digits is 8599633920, while the sum is 76.

The spelling of 343842494954368 in words is "three hundred forty-three trillion, eight hundred forty-two billion, four hundred ninety-four million, nine hundred fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 79 89 128 158 178 316 356 632 712 1264 1424 2528 2848 2861 5056 5696 5722 7031 10112 11392 11444 14062 22888 28124 45776 56248 91552 112496 133541 183104 224992 226019 254629 267082 366208 449984 452038 509258 534164 899968 904076 1018516 1068328 1808152 2037032 2136656 3616304 4074064 4273312 7232608 8148128 8546624 10549739 11885149 14465216 16296256 17093248 20115691 21099478 23770298 28930432 32592512 40231382 42198956 47540596 80462764 84397912 95081192 160925528 168795824 190162384 321851056 337591648 380324768 382060801 643702112 675183296 760649536 764121602 938926771 1287404224 1350366592 1521299072 1528243204 1877853542 2574808448 3056486408 3755707084 6112972816 7511414168 12225945632 15022828336 24451891264 30045656672 30182803279 34003411289 48903782528 60091313344 60365606558 68006822578 120182626688 120731213116 136013645156 241462426232 272027290312 482924852464 544054580624 965849704928 1088109161248 1931699409856 2176218322496 2686269491831 3863398819712 4352436644992 5372538983662 10745077967324 21490155934648 42980311869296 85960623738592 171921247477184 343842494954368