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349321665906 = 233263101324281
BaseRepresentation
bin1010001010101010011…
…00011001110101110010
31020101122211100020221000
411011111030121311302
521210402321302111
6424250503342430
734144342111563
oct5052514316562
91211584306830
10349321665906
11125167a78964
125784b151a16
1326c301a69c5
1412c9b73816a
159147710c56
hex5155319d72

349321665906 has 64 divisors (see below), whose sum is σ = 780023312640. Its totient is φ = 115878533760.

The previous prime is 349321665899. The next prime is 349321665911. The reversal of 349321665906 is 609566123943.

349321665906 is a `hidden beast` number, since 3 + 4 + 9 + 32 + 16 + 6 + 590 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14374486 + ... + 14398766.

It is an arithmetic number, because the mean of its divisors is an integer number (12187864260).

Almost surely, 2349321665906 is an apocalyptic number.

349321665906 is an abundant number, since it is smaller than the sum of its proper divisors (430701646734).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

349321665906 is a wasteful number, since it uses less digits than its factorization.

349321665906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25568 (or 25562 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 349321665906 in words is "three hundred forty-nine billion, three hundred twenty-one million, six hundred sixty-five thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 27 54 263 526 789 1013 1578 2026 2367 3039 4734 6078 7101 9117 14202 18234 24281 27351 48562 54702 72843 145686 218529 266419 437058 532838 655587 799257 1311174 1598514 2397771 4795542 6385903 7193313 12771806 14386626 19157709 24596653 38315418 49193306 57473127 73789959 114946254 147579918 172419381 221369877 344838762 442739754 664109631 1328219262 6468919739 12937839478 19406759217 38813518434 58220277651 116440555302 174660832953 349321665906