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34105356342 = 234977215483
BaseRepresentation
bin11111110000110101…
…100111000000110110
310021000212020121120000
4133300311213000312
51024321432400332
623400124052130
72315106513531
oct376065470066
9107025217500
1034105356342
1113511648012
126739994046
1332a6a84335
141917785a18
15d49260b7c
hex7f0d67036

34105356342 has 40 divisors (see below), whose sum is σ = 76499836776. Its totient is φ = 11356763328.

The previous prime is 34105356331. The next prime is 34105356347. The reversal of 34105356342 is 24365350143.

34105356342 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 53 + 563 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34105356297 and 34105356306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34105356347) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 50533 + ... + 266015.

Almost surely, 234105356342 is an apocalyptic number.

34105356342 is an abundant number, since it is smaller than the sum of its proper divisors (42394480434).

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

34105356342 is a wasteful number, since it uses less digits than its factorization.

34105356342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216474 (or 216465 counting only the distinct ones).

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

The spelling of 34105356342 in words is "thirty-four billion, one hundred five million, three hundred fifty-six thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 977 1954 2931 5862 8793 17586 26379 52758 79137 158274 215483 430966 646449 1292898 1939347 3878694 5818041 11636082 17454123 34908246 210526891 421053782 631580673 1263161346 1894742019 3789484038 5684226057 11368452114 17052678171 34105356342