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834801820 = 225418231237
BaseRepresentation
bin110001110000100…
…001000010011100
32011011211022210221
4301300201002130
53202202124240
6214500411124
726454461356
oct6160410234
92134738727
10834801820
11399250a66
121b36a6aa4
13103c49698
147cc280d6
154d44da4a
hex31c2109c

834801820 has 48 divisors (see below), whose sum is σ = 1799477568. Its totient is φ = 325117440.

The previous prime is 834801787. The next prime is 834801833. The reversal of 834801820 is 28108438.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 674242 + ... + 675478.

It is an arithmetic number, because the mean of its divisors is an integer number (37489116).

Almost surely, 2834801820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834801820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899738784).

834801820 is an abundant number, since it is smaller than the sum of its proper divisors (964675748).

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

834801820 is a wasteful number, since it uses less digits than its factorization.

834801820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 834801820 is about 28892.9371992534. The cubic root of 834801820 is about 941.5884640550.

The spelling of 834801820 in words is "eight hundred thirty-four million, eight hundred one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 823 1237 1646 2474 3292 4115 4948 6185 8230 12370 16460 24740 33743 50717 67486 101434 134972 168715 202868 253585 337430 507170 674860 1014340 1018051 2036102 4072204 5090255 10180510 20361020 41740091 83480182 166960364 208700455 417400910 834801820