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345660430005 = 325111634619293
BaseRepresentation
bin1010000011110101111…
…01111001011010110101
31020001012200002012110100
411001322331321122311
521130403032230010
6422443314344313
733654534114462
oct5017275713265
91201180065410
10345660430005
11123659335170
1256ba8b8b099
1326798806227
1412a313a8669
158ed10a52c0
hex507af796b5

345660430005 has 96 divisors (see below), whose sum is σ = 659119773312. Its totient is φ = 166185561600.

The previous prime is 345660429979. The next prime is 345660430033. The reversal of 345660430005 is 500034066543.

345660430005 is a `hidden beast` number, since 3 + 45 + 6 + 604 + 3 + 0 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 345660430005 - 224 = 345643652789 is a prime.

It is a super-2 number, since 2×3456604300052 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37191139 + ... + 37200431.

It is an arithmetic number, because the mean of its divisors is an integer number (6865830972).

Almost surely, 2345660430005 is an apocalyptic number.

It is an amenable number.

345660430005 is a deficient number, since it is larger than the sum of its proper divisors (313459343307).

345660430005 is a wasteful number, since it uses less digits than its factorization.

345660430005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9939 (or 9936 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 345660430005 its reverse (500034066543), we get a palindrome (845694496548).

The spelling of 345660430005 in words is "three hundred forty-five billion, six hundred sixty million, four hundred thirty thousand, five".

Divisors: 1 3 5 9 11 15 33 45 55 99 163 165 461 489 495 815 1383 1467 1793 2305 2445 4149 5071 5379 6915 7335 8965 9293 15213 16137 20745 25355 26895 27879 45639 46465 75143 76065 80685 83637 102223 139395 225429 228195 306669 375715 418185 511115 676287 826573 920007 1127145 1514759 1533345 2479719 3381435 4132865 4284073 4544277 4600035 7439157 7573795 12398595 12852219 13632831 16662349 21420365 22721385 37195785 38556657 47124803 49987047 64261095 68164155 83311745 141374409 149961141 192783285 235624015 249935235 424123227 698303899 706872045 749805705 2094911697 2120616135 3491519495 6284735091 7681342889 10474558485 23044028667 31423675455 38406714445 69132086001 115220143335 345660430005