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34369496343 = 33713171018147
BaseRepresentation
bin100000000000100101…
…001110010100010111
310021201021021022112000
4200000211032110113
51030342042340333
623442241330343
72324464620150
oct400045162427
9107637238460
1034369496343
1113637759336
1267b23369b3
133319707ab0
1419408a2927
15d62539713
hex80094e517

34369496343 has 128 divisors (see below), whose sum is σ = 67019581440. Its totient is φ = 16891545600.

The previous prime is 34369496303. The next prime is 34369496351.

34369496343 is a `hidden beast` number, since 3 + 436 + 94 + 96 + 34 + 3 = 666.

34369496343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34369496343 - 28 = 34369496087 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 34369496343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34369496303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4214596 + ... + 4222742.

It is an arithmetic number, because the mean of its divisors is an integer number (523590480).

Almost surely, 234369496343 is an apocalyptic number.

34369496343 is a deficient number, since it is larger than the sum of its proper divisors (32650085097).

34369496343 is a wasteful number, since it uses less digits than its factorization.

34369496343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8294 (or 8288 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 54.

The spelling of 34369496343 in words is "thirty-four billion, three hundred sixty-nine million, four hundred ninety-six thousand, three hundred forty-three".

Divisors: 1 3 7 9 13 17 21 27 39 51 63 91 101 117 119 153 189 221 273 303 351 357 459 663 707 819 909 1071 1313 1547 1717 1989 2121 2457 2727 3213 3939 4641 5151 5967 6363 8147 9191 11817 12019 13923 15453 19089 22321 24441 27573 35451 36057 41769 46359 57029 66963 73323 82719 105911 108171 138499 156247 171087 200889 219969 248157 317733 324513 415497 468741 513261 602667 741377 822847 953199 969493 1246491 1406223 1539783 1800487 2224131 2468541 2859597 2908479 3739473 4218669 5401461 5759929 6672393 7405623 8725437 10697011 12603409 13988399 16204383 17279787 20017179 22216869 26176311 32091033 37810227 41965197 48613149 51839361 74879077 96273099 97918793 113430681 125895591 155518083 181849187 224637231 288819297 293756379 340292043 377686773 545547561 673911693 881269137 1272944309 1636642683 2021735079 2643807411 3818832927 4909928049 11456498781 34369496343