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343245363542343 = 331971389145316673
BaseRepresentation
bin100111000001011100000100…
…1111101101111100101000111
31200000022221021112221021112000
41032002320021331233211013
5324442213001031323333
63214004424304200343
7132204442042512333
oct11602701175574507
91600287245837460
10343245363542343
119a4065a5371229
12325b73019090b3
131196ab8bb47992
1460a924294c7c3
1529a38eda43713
hex1382e09f6f947

343245363542343 has 128 divisors (see below), whose sum is σ = 544617126144000. Its totient is φ = 213024273960960.

The previous prime is 343245363542309. The next prime is 343245363542353.

343245363542343 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 4 + 5 + 3 + 63 + 542 + 34 + 3 = 666.

343245363542343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343245363542343 - 214 = 343245363525959 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 343245363542343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343245363542353) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20586890455 + ... + 20586907127.

It is an arithmetic number, because the mean of its divisors is an integer number (4254821298000).

Almost surely, 2343245363542343 is an apocalyptic number.

343245363542343 is a deficient number, since it is larger than the sum of its proper divisors (201371762601657).

343245363542343 is a wasteful number, since it uses less digits than its factorization.

343245363542343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18614 (or 18608 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 54.

The spelling of 343245363542343 in words is "three hundred forty-three trillion, two hundred forty-five billion, three hundred sixty-three million, five hundred forty-two thousand, three hundred forty-three".

Divisors: 1 3 9 19 27 57 71 171 213 389 513 639 1167 1349 1453 1917 3501 4047 4359 7391 10503 12141 13077 16673 22173 27607 27619 36423 39231 50019 66519 82821 82857 103163 150057 199557 248463 248571 309489 316787 450171 524761 565217 745389 745713 928467 950361 1183783 1574283 1695651 1960097 2785401 2851083 3551349 4722849 5086953 5880291 6485797 8553249 10654047 10739123 14168547 15260859 17640873 19457391 22491877 24225869 31962141 32217369 40130407 52922619 58372173 67475631 72677607 96652107 120391221 123230143 175116519 202426893 218032821 289956321 361173663 369690429 460291511 460491587 607280679 654098463 762477733 1083520989 1109071287 1380874533 1381474761 1720036699 2287433199 3327213861 4142623599 4144424283 5160110097 6862299597 8749340153 9423863041 12427870797 12433272849 15480330291 20586898791 26248020459 28271589123 32680697281 46440990873 78744061377 84814767369 98042091843 179053397779 236232184131 254444302107 294126275529 537160193337 669094275911 882378826587 1611480580011 2007282827733 4834441740033 6021848483199 12712791242309 18065545449597 38138373726927 114415121180781 343245363542343