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834231936 = 273191091049
BaseRepresentation
bin110001101110010…
…101111010000000
32011010202101002010
4301232111322000
53202030410221
6214440252520
726446566036
oct6156257200
92133671063
10834231936
113989a188a
121b3471140
13103aaa185
147cb1a556
154d389c76
hex31b95e80

834231936 has 128 divisors (see below), whose sum is σ = 2356200000. Its totient is φ = 260775936.

The previous prime is 834231929. The next prime is 834231947. The reversal of 834231936 is 639132438.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 834231894 and 834231903.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 794740 + ... + 795788.

Almost surely, 2834231936 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 834231936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178100000).

834231936 is an abundant number, since it is smaller than the sum of its proper divisors (1521968064).

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

834231936 is a wasteful number, since it uses less digits than its factorization.

834231936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1182 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 834231936 is about 28883.0735206626. The cubic root of 834231936 is about 941.3741543679.

The spelling of 834231936 in words is "eight hundred thirty-four million, two hundred thirty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 109 114 128 152 192 218 228 304 327 384 436 456 608 654 872 912 1049 1216 1308 1744 1824 2071 2098 2432 2616 3147 3488 3648 4142 4196 5232 6213 6294 6976 7296 8284 8392 10464 12426 12588 13952 16568 16784 19931 20928 24852 25176 33136 33568 39862 41856 49704 50352 59793 66272 67136 79724 99408 100704 114341 119586 132544 134272 159448 198816 201408 228682 239172 265088 318896 343023 397632 402816 457364 478344 637792 686046 795264 914728 956688 1275584 1372092 1829456 1913376 2172479 2551168 2744184 3658912 3826752 4344958 5488368 6517437 7317824 7653504 8689916 10976736 13034874 14635648 17379832 21953472 26069748 34759664 43906944 52139496 69519328 104278992 139038656 208557984 278077312 417115968 834231936