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343530030445344 = 253219531184520959
BaseRepresentation
bin100111000011100000101000…
…1011011110011001100100000
31200001100011001110221021101200
41032013001101123303030200
5330011344000243222334
63214343303424001200
7132234140254331211
oct11607012133631440
91601304043837350
10343530030445344
119a5062a4416836
1232642508160200
131198b987111c12
1460b8d2951d408
1529ab010042799
hex13870516f3320

343530030445344 has 144 divisors (see below), whose sum is σ = 1047732479539200. Its totient is φ = 106436315202048.

The previous prime is 343530030445319. The next prime is 343530030445367. The reversal of 343530030445344 is 443544030035343.

343530030445344 is a `hidden beast` number, since 3 + 4 + 3 + 5 + 300 + 304 + 4 + 5 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 343530030445344.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 591970464 + ... + 592550495.

It is an arithmetic number, because the mean of its divisors is an integer number (7275919996800).

Almost surely, 2343530030445344 is an apocalyptic number.

It is an amenable number.

343530030445344 is an abundant number, since it is smaller than the sum of its proper divisors (704202449093856).

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

343530030445344 is a wasteful number, since it uses less digits than its factorization.

343530030445344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184521047 (or 1184521036 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 45.

The spelling of 343530030445344 in words is "three hundred forty-three trillion, five hundred thirty billion, thirty million, four hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 53 57 72 76 96 106 114 144 152 159 171 212 228 288 304 318 342 424 456 477 608 636 684 848 912 954 1007 1272 1368 1696 1824 1908 2014 2544 2736 3021 3816 4028 5088 5472 6042 7632 8056 9063 12084 15264 16112 18126 24168 32224 36252 48336 72504 96672 145008 290016 1184520959 2369041918 3553562877 4738083836 7107125754 9476167672 10660688631 14214251508 18952335344 21321377262 22505898221 28428503016 37904670688 42642754524 45011796442 56857006032 62779610827 67517694663 85285509048 90023592884 113714012064 125559221654 135035389326 170571018096 180047185768 188338832481 202553083989 251118443308 270070778652 341142036192 360094371536 376677664962 405106167978 502236886616 540141557304 565016497443 720188743072 753355329924 810212335956 1004473773232 1080283114608 1130032994886 1192812605713 1506710659848 1620424671912 2008947546464 2160566229216 2260065989772 2385625211426 3013421319696 3240849343824 3578437817139 4520131979544 4771250422852 6026842639392 6481698687648 7156875634278 9040263959088 9542500845704 10735313451417 14313751268556 18080527918176 19085001691408 21470626902834 28627502537112 38170003382816 42941253805668 57255005074224 85882507611336 114510010148448 171765015222672 343530030445344