Search a number
-
+
834201764 = 2211171979743
BaseRepresentation
bin110001101110001…
…110100010100100
32011010200211200122
4301232032202210
53202023424024
6214435501112
726446412054
oct6156164244
92133624618
10834201764
11398981150
121b3457798
13103a99516
147cb0d564
154d380d5e
hex31b8e8a4

834201764 has 96 divisors (see below), whose sum is σ = 1799884800. Its totient is φ = 333365760.

The previous prime is 834201761. The next prime is 834201773. The reversal of 834201764 is 467102438.

It is not an unprimeable number, because it can be changed into a prime (834201761) 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, 1122377 + ... + 1123119.

It is an arithmetic number, because the mean of its divisors is an integer number (18748800).

Almost surely, 2834201764 is an apocalyptic number.

It is an amenable number.

834201764 is an abundant number, since it is smaller than the sum of its proper divisors (965683036).

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

834201764 is a wasteful number, since it uses less digits than its factorization.

With its successor (834201765) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (871).

With its successor (834201765) it forms an eRAP, since the sums of their prime factors are consecutive (873 and 874).

834201764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 834201764 is about 28882.5512031053. The cubic root of 834201764 is about 941.3628052126.

It can be divided in two parts, 83420 and 1764, that added together give a cube (85184 = 443).

The spelling of 834201764 in words is "eight hundred thirty-four million, two hundred one thousand, seven hundred sixty-four".

Divisors: 1 2 4 11 17 19 22 34 38 44 68 76 79 158 187 209 316 323 374 418 646 743 748 836 869 1292 1343 1486 1501 1738 2686 2972 3002 3476 3553 5372 6004 7106 8173 12631 14117 14212 14773 16346 16511 25262 25517 28234 29546 32692 33022 50524 51034 56468 58697 59092 66044 102068 117394 138941 155287 234788 239989 277882 280687 310574 479978 555764 561374 621148 645667 959956 997849 1115243 1122748 1291334 1995698 2230486 2582668 2639879 3991396 4460972 5279758 10559516 10976339 12267673 18959131 21952678 24535346 37918262 43905356 49070692 75836524 208550441 417100882 834201764