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684638343 = 321937241449
BaseRepresentation
bin101000110011101…
…100000010000111
31202201021020020200
4220303230002013
52400231411333
6151534101543
722652221104
oct5063540207
91681236220
10684638343
11321507a14
1217134a8b3
13abac125c
1466cd9aab
154018ac13
hex28cec087

684638343 has 48 divisors (see below), whose sum is σ = 1075932000. Its totient is φ = 418037760.

The previous prime is 684638333. The next prime is 684638347. The reversal of 684638343 is 343836486.

684638343 is a `hidden beast` number, since 6 + 8 + 4 + 638 + 3 + 4 + 3 = 666.

It is not a de Polignac number, because 684638343 - 210 = 684637319 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684638347) 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 47 ways as a sum of consecutive naturals, for example, 1524583 + ... + 1525031.

It is an arithmetic number, because the mean of its divisors is an integer number (22415250).

Almost surely, 2684638343 is an apocalyptic number.

684638343 is a deficient number, since it is larger than the sum of its proper divisors (391293657).

684638343 is a wasteful number, since it uses less digits than its factorization.

684638343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 749 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 684638343 is about 26165.5946425836. The cubic root of 684638343 is about 881.3608176922.

The spelling of 684638343 in words is "six hundred eighty-four million, six hundred thirty-eight thousand, three hundred forty-three".

Divisors: 1 3 9 19 37 57 111 171 241 333 449 703 723 1347 2109 2169 4041 4579 6327 8531 8917 13737 16613 25593 26751 41211 49839 76779 80253 108209 149517 169423 315647 324627 508269 946941 973881 1524807 2055971 2840823 4003733 6167913 12011199 18503739 36033597 76070927 228212781 684638343