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834806427 = 37132713313
BaseRepresentation
bin110001110000100…
…010001010011011
32011011211120010120
4301300202022123
53202202301202
6214500444323
726454510660
oct6160421233
92134746116
10834806427
11399254474
121b36a96a3
13103c4b800
147cc29a67
154d4500bc
hex31c2229b

834806427 has 48 divisors (see below), whose sum is σ = 1397288448. Its totient is φ = 434004480.

The previous prime is 834806387. The next prime is 834806473. The reversal of 834806427 is 724608438.

It is not a de Polignac number, because 834806427 - 27 = 834806299 is a prime.

It is not an unprimeable number, because it can be changed into a prime (834806227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250323 + ... + 253635.

It is an arithmetic number, because the mean of its divisors is an integer number (29110176).

Almost surely, 2834806427 is an apocalyptic number.

834806427 is a deficient number, since it is larger than the sum of its proper divisors (562482021).

834806427 is a wasteful number, since it uses less digits than its factorization.

834806427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 834806427 is about 28893.0169245096. The cubic root of 834806427 is about 941.5901961588.

The spelling of 834806427 in words is "eight hundred thirty-four million, eight hundred six thousand, four hundred twenty-seven".

Divisors: 1 3 7 13 21 39 71 91 169 213 273 497 507 923 1183 1491 2769 3313 3549 6461 9939 11999 19383 23191 35997 43069 69573 83993 129207 235223 251979 301483 559897 705669 904449 1646561 1679691 3057899 3919279 4939683 9173697 11757837 21405293 39752687 64215879 119258061 278268809 834806427