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343042330130304 = 2737170441748763
BaseRepresentation
bin100110111111111101100010…
…0001110101111011110000000
31122222121112012210202021222120
41031333323010032233132000
5324430401143003132204
63213331245413404240
7132153663506133420
oct11577730416573600
91588545183667876
10343042330130304
119a338487299732
1232583a9a339680
13119549a324624c
14609d4a1a48480
15299d4b912a6d9
hex137fec43af780

343042330130304 has 128 divisors (see below), whose sum is σ = 1041386002894080. Its totient is φ = 98011388375040.

The previous prime is 343042330130303. The next prime is 343042330130333. The reversal of 343042330130304 is 403031033240343.

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

It is a super-2 number, since 2×3430423301303042 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343042330130303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 457771027 + ... + 458519789.

It is an arithmetic number, because the mean of its divisors is an integer number (8135828147610).

Almost surely, 2343042330130304 is an apocalyptic number.

It is an amenable number.

343042330130304 is an abundant number, since it is smaller than the sum of its proper divisors (698343672763776).

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

343042330130304 is a wasteful number, since it uses less digits than its factorization.

343042330130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919228 (or 919216 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 33.

Adding to 343042330130304 its reverse (403031033240343), we get a palindrome (746073363370647).

The spelling of 343042330130304 in words is "three hundred forty-three trillion, forty-two billion, three hundred thirty million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 170441 340882 511323 681764 748763 1022646 1193087 1363528 1497526 2045292 2246289 2386174 2727056 2995052 3579261 4090584 4492578 4772348 5241341 5454112 5990104 7158522 8181168 8985156 9544696 10482682 10908224 11980208 14317044 15724023 16362336 17970312 19089392 20965364 21816448 23960416 28634088 31448046 32724672 35940624 38178784 41930728 47920832 57268176 62896092 65449344 71881248 76357568 83861456 95841664 114536352 125792184 143762496 152715136 167722912 229072704 251584368 287524992 335445824 458145408 503168736 670891648 1006337472 2012674944 127619914483 255239828966 382859743449 510479657932 765719486898 893339401381 1020959315864 1531438973796 1786678802762 2041918631728 2680018204143 3062877947592 3573357605524 4083837263456 5360036408286 6125755895184 7146715211048 8167674526912 10720072816572 12251511790368 14293430422096 16335349053824 21440145633144 24503023580736 28586860844192 42880291266288 49006047161472 57173721688384 85760582532576 114347443376768 171521165065152 343042330130304