Search a number
-
+
834965320 = 235723317409
BaseRepresentation
bin110001110001001…
…000111101001000
32011012010122002111
4301301020331020
53202222342240
6214504112104
726456042140
oct6161107510
92135118074
10834965320
11399352892
121b3765634
13103ca5c27
147cc6b920
154d4821ea
hex31c48f48

834965320 has 128 divisors (see below), whose sum is σ = 2252966400. Its totient is φ = 272295936.

The previous prime is 834965281. The next prime is 834965321. The reversal of 834965320 is 23569438.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (834965321) 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 31 ways as a sum of consecutive naturals, for example, 2041276 + ... + 2041684.

It is an arithmetic number, because the mean of its divisors is an integer number (17601300).

Almost surely, 2834965320 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 834965320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126483200).

834965320 is an abundant number, since it is smaller than the sum of its proper divisors (1418001080).

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

834965320 is a wasteful number, since it uses less digits than its factorization.

834965320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 834965320 is about 28895.7664719246. The cubic root of 834965320 is about 941.6499316036.

The spelling of 834965320 in words is "eight hundred thirty-four million, nine hundred sixty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 317 322 409 460 634 644 805 818 920 1268 1288 1585 1610 1636 2045 2219 2536 2863 3170 3220 3272 4090 4438 5726 6340 6440 7291 8180 8876 9407 11095 11452 12680 14315 14582 16360 17752 18814 22190 22904 28630 29164 36455 37628 44380 47035 51037 57260 58328 65849 72910 75256 88760 94070 102074 114520 129653 131698 145820 188140 204148 255185 259306 263396 291640 329245 376280 408296 510370 518612 526792 648265 658490 907571 1020740 1037224 1296530 1316980 1815142 2041480 2593060 2633960 2982019 3630284 4537855 5186120 5964038 7260568 9075710 11928076 14910095 18151420 20874133 23856152 29820190 36302840 41748266 59640380 83496532 104370665 119280760 166993064 208741330 417482660 834965320