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834990768 = 2436174211
BaseRepresentation
bin110001110001001…
…111001010110000
32011012011221000000
4301301033022300
53202224201033
6214504430000
726456206263
oct6161171260
92135157000
10834990768
1139936aa17
121b3778300
13103cb46a1
147cc76cda
154d489a13
hex31c4f2b0

834990768 has 140 divisors (see below), whose sum is σ = 2568873528. Its totient is φ = 261895680.

The previous prime is 834990763. The next prime is 834990773. The reversal of 834990768 is 867099438.

834990768 is a `hidden beast` number, since 83 + 499 + 0 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (834990763) and next prime (834990773).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (834990763) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 196183 + ... + 200393.

Almost surely, 2834990768 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 834990768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284436764).

834990768 is an abundant number, since it is smaller than the sum of its proper divisors (1733882760).

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

834990768 is a wasteful number, since it uses less digits than its factorization.

834990768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4254 (or 4233 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 834990768 is about 28896.2068098912. The cubic root of 834990768 is about 941.6594980145.

The spelling of 834990768 in words is "eight hundred thirty-four million, nine hundred ninety thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 243 272 306 324 408 432 459 486 612 648 729 816 918 972 1224 1296 1377 1458 1836 1944 2448 2754 2916 3672 3888 4131 4211 5508 5832 7344 8262 8422 11016 11664 12393 12633 16524 16844 22032 24786 25266 33048 33688 37899 49572 50532 66096 67376 71587 75798 99144 101064 113697 143174 151596 198288 202128 214761 227394 286348 303192 341091 429522 454788 572696 606384 644283 682182 859044 909576 1023273 1145392 1288566 1364364 1718088 1819152 1932849 2046546 2577132 2728728 3069819 3436176 3865698 4093092 5154264 5457456 5798547 6139638 7731396 8186184 10308528 11597094 12279276 15462792 16372368 17395641 23194188 24558552 30925584 34791282 46388376 49117104 52186923 69582564 92776752 104373846 139165128 208747692 278330256 417495384 834990768