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842753934 = 2321141103813
BaseRepresentation
bin110010001110110…
…110011110001110
32011201210100001200
4302032312132032
53211221111214
6215343050330
726612201361
oct6216663616
92151710050
10842753934
113a2792560
121b62a09a6
131057a2089
147dcd80d8
154debed09
hex323b678e

842753934 has 48 divisors (see below), whose sum is σ = 2040567984. Its totient is φ = 249148800.

The previous prime is 842753927. The next prime is 842753953. The reversal of 842753934 is 439357248.

842753934 is a `hidden beast` number, since 84 + 2 + 7 + 539 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 842753934.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43789 + ... + 60024.

It is an arithmetic number, because the mean of its divisors is an integer number (42511833).

Almost surely, 2842753934 is an apocalyptic number.

842753934 is an abundant number, since it is smaller than the sum of its proper divisors (1197814050).

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

842753934 is a wasteful number, since it uses less digits than its factorization.

842753934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103873 (or 103870 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 842753934 is about 29030.2244910369. The cubic root of 842753934 is about 944.5687996633.

It can be divided in two parts, 84275 and 3934, that added together give a square (88209 = 2972).

The spelling of 842753934 in words is "eight hundred forty-two million, seven hundred fifty-three thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1353 2706 4059 8118 103813 207626 311439 622878 934317 1141943 1868634 2283886 3425829 4256333 6851658 8512666 10277487 12768999 20554974 25537998 38306997 46819663 76613994 93639326 140458989 280917978 421376967 842753934