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34042243878 = 23217123190373
BaseRepresentation
bin11111101101000100…
…110110101100100110
310020212110111011112100
4133231010312230212
51024204303301003
623345551232530
72313412204266
oct375504665446
9106773434470
1034042243878
1113489a60755
126720818746
133296987796
14190d2377a6
15d43945ba3
hex7ed136b26

34042243878 has 48 divisors (see below), whose sum is σ = 78161219136. Its totient is φ = 10671125760.

The previous prime is 34042243877. The next prime is 34042243889. The reversal of 34042243878 is 87834224043.

34042243878 is a `hidden beast` number, since 3 + 40 + 4 + 224 + 387 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34042243877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331500 + ... + 421872.

It is an arithmetic number, because the mean of its divisors is an integer number (1628358732).

Almost surely, 234042243878 is an apocalyptic number.

34042243878 is an abundant number, since it is smaller than the sum of its proper divisors (44118975258).

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

34042243878 is a wasteful number, since it uses less digits than its factorization.

34042243878 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91629 (or 91626 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 34042243878 in words is "thirty-four billion, forty-two million, two hundred forty-three thousand, eight hundred seventy-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 1231 2462 3693 7386 11079 20927 22158 41854 62781 90373 125562 180746 188343 271119 376686 542238 813357 1536341 1626714 3072682 4609023 9218046 13827069 27654138 111249163 222498326 333747489 667494978 1001242467 1891235771 2002484934 3782471542 5673707313 11347414626 17021121939 34042243878