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34126390386 = 23211643268049
BaseRepresentation
bin11111110010000101…
…110110010001110010
310021002022211020211200
4133302011312101302
51024342323443021
623402154552030
72315453350344
oct376205662162
9107068736750
1034126390386
1113522504220
126744a38616
1332ab23a30a
14191a49d294
15d4b018126
hex7f2176472

34126390386 has 48 divisors (see below), whose sum is σ = 80788125600. Its totient is φ = 10325208960.

The previous prime is 34126390351. The next prime is 34126390399. The reversal of 34126390386 is 68309362143.

34126390386 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 639 + 0 + 3 + 8 + 6 = 666.

It is a super-2 number, since 2×341263903862 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

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 23 ways as a sum of consecutive naturals, for example, 6711 + ... + 261338.

It is an arithmetic number, because the mean of its divisors is an integer number (1683085950).

Almost surely, 234126390386 is an apocalyptic number.

34126390386 is an abundant number, since it is smaller than the sum of its proper divisors (46661735214).

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

34126390386 is a wasteful number, since it uses less digits than its factorization.

34126390386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268711 (or 268708 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

It can be divided in two parts, 341263 and 90386, that added together give a square (431649 = 6572).

The spelling of 34126390386 in words is "thirty-four billion, one hundred twenty-six million, three hundred ninety thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 643 1286 1929 3858 5787 7073 11574 14146 21219 42438 63657 127314 268049 536098 804147 1608294 2412441 2948539 4824882 5897078 8845617 17691234 26536851 53073702 172355507 344711014 517066521 1034133042 1551199563 1895910577 3102399126 3791821154 5687731731 11375463462 17063195193 34126390386