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34343000034343 = 71113196156352579
BaseRepresentation
bin1111100111100000110100…
…10100010100110000100111
311111121011021201110120002221
413303300122110110300213
514000133431002044333
6201012542330213211
710143125361523420
oct763603224246047
9144534251416087
1034343000034343
11aa4086a221190
123a27aa1284207
1316216b9812b90
1486a2d2610647
153e85184c8d2d
hex1f3c1a514c27

34343000034343 has 128 divisors (see below), whose sum is σ = 49422036787200. Its totient is φ = 22977174873600.

The previous prime is 34343000034341. The next prime is 34343000034439.

It can be divided in two parts, 343430000 and 34343, that multiplied together give a square (11794416490000 = 34343002).

34343000034343 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34343000034343 - 21 = 34343000034341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34343000034299 and 34343000034308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34343000034341) 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, 653143228 + ... + 653195806.

It is an arithmetic number, because the mean of its divisors is an integer number (386109662400).

Almost surely, 234343000034343 is an apocalyptic number.

34343000034343 is a deficient number, since it is larger than the sum of its proper divisors (15079036752857).

34343000034343 is a wasteful number, since it uses less digits than its factorization.

34343000034343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53253.

The product of its (nonzero) digits is 186624, while the sum is 34.

The spelling of 34343000034343 in words is "thirty-four trillion, three hundred forty-three billion, thirty-four thousand, three hundred forty-three".

Divisors: 1 7 11 13 19 61 77 91 133 143 209 247 427 563 671 793 1001 1159 1463 1729 2717 3941 4697 5551 6193 7319 8113 8723 10697 12749 15067 19019 34343 43351 51233 52579 61061 74879 80509 89243 105469 117667 139061 165737 240401 368053 377773 446459 563563 578369 652517 683527 823669 973427 999001 1160159 1529671 2644411 3125213 3207319 4048583 4567619 4784689 4911049 6993007 7177687 7518797 8482721 10707697 10989011 12987013 22451233 29601977 34377343 35280509 41695147 50243809 52631579 59379047 60939061 76923077 90909091 93309931 142857143 207213839 246963563 291866029 325621747 384825701 426573427 458646617 562437563 653169517 670329671 792207793 1000000001 1805720597 2279352229 2693779907 3210526319 3937062941 4233082711 4692307697 5545454551 6186813193 7311688319 8714285723 12640044179 19862926567 23474367761 29631578977 34308691343 43307692351 51181818233 61000000061 80428571509 139040485969 164320574327 240160839401 258218045371 377395604773 446012987459 563000000563 1807526317597 2641769233411 3122090912213 4906142862049 34343000034343