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834236442 = 233132414931
BaseRepresentation
bin110001101110010…
…111000000011010
32011010202121021000
4301232113000122
53202031031232
6214440325430
726446615134
oct6156270032
92133677230
10834236442
113989a5206
121b3473876
13103aac240
147cb1c054
154d38b27c
hex31b9701a

834236442 has 64 divisors (see below), whose sum is σ = 2005153920. Its totient is φ = 255571200.

The previous prime is 834236441. The next prime is 834236479. The reversal of 834236442 is 244632438.

834236442 is a `hidden beast` number, since 8 + 3 + 4 + 2 + 3 + 644 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 834236397 and 834236406.

It is not an unprimeable number, because it can be changed into a prime (834236441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166717 + ... + 171647.

It is an arithmetic number, because the mean of its divisors is an integer number (31330530).

Almost surely, 2834236442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834236442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002576960).

834236442 is an abundant number, since it is smaller than the sum of its proper divisors (1170917478).

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

834236442 is a wasteful number, since it uses less digits than its factorization.

834236442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5196 (or 5190 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 834236442 is about 28883.1515247211. The cubic root of 834236442 is about 941.3758492700.

The spelling of 834236442 in words is "eight hundred thirty-four million, two hundred thirty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 241 351 482 702 723 1446 2169 3133 4338 4931 6266 6507 9399 9862 13014 14793 18798 28197 29586 44379 56394 64103 84591 88758 128206 133137 169182 192309 266274 384618 576927 1153854 1188371 1730781 2376742 3461562 3565113 7130226 10695339 15448823 21390678 30897646 32086017 46346469 64172034 92692938 139039407 278078814 417118221 834236442