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834738912 = 25337219717
BaseRepresentation
bin110001110000010…
…001101011100000
32011011201010112000
4301300101223200
53202143121122
6214455204000
726454110100
oct6160215340
92134633460
10834738912
11399208777
121b3676600
13103c26b67
147cc0d200
154d43a0ac
hex31c11ae0

834738912 has 144 divisors (see below), whose sum is σ = 2832293520. Its totient is φ = 238484736.

The previous prime is 834738911. The next prime is 834738937. The reversal of 834738912 is 219837438.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834738911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32478 + ... + 52194.

It is an arithmetic number, because the mean of its divisors is an integer number (19668705).

Almost surely, 2834738912 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 834738912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416146760).

834738912 is an abundant number, since it is smaller than the sum of its proper divisors (1997554608).

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

834738912 is a wasteful number, since it uses less digits than its factorization.

834738912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19750 (or 19729 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 834738912 is about 28891.8485389911. The cubic root of 834738912 is about 941.5648117607.

The spelling of 834738912 in words is "eight hundred thirty-four million, seven hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 14112 19717 21168 39434 42336 59151 78868 118302 138019 157736 177453 236604 276038 315472 354906 414057 473208 532359 552076 630944 709812 828114 946416 966133 1064718 1104152 1242171 1419624 1656228 1892832 1932266 2129436 2208304 2484342 2839248 2898399 3312456 3726513 3864532 4258872 4416608 4968684 5678496 5796798 6624912 7453026 7729064 8517744 8695197 9937368 11593596 13249824 14906052 15458128 17035488 17390394 19874736 23187192 26085591 29812104 30916256 34780788 39749472 46374384 52171182 59624208 69561576 92748768 104342364 119248416 139123152 208684728 278246304 417369456 834738912