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834486705 = 34513353449
BaseRepresentation
bin110001101111010…
…100000110110001
32011011020022120000
4301233110012301
53202112033310
6214445540213
726452006563
oct6157240661
92134208500
10834486705
11399056238
121b3574669
13103b69120
147cb85333
154d3da4c0
hex31bd41b1

834486705 has 80 divisors (see below), whose sum is σ = 1619125200. Its totient is φ = 408748032.

The previous prime is 834486703. The next prime is 834486727. The reversal of 834486705 is 507684438.

834486705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 54066609 + 780420096 = 7353^2 + 27936^2 .

It is not a de Polignac number, because 834486705 - 21 = 834486703 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (834486703) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1858321 + ... + 1858769.

It is an arithmetic number, because the mean of its divisors is an integer number (20239065).

Almost surely, 2834486705 is an apocalyptic number.

It is an amenable number.

834486705 is a deficient number, since it is larger than the sum of its proper divisors (784638495).

834486705 is a wasteful number, since it uses less digits than its factorization.

834486705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 834486705 is about 28887.4835352614. The cubic root of 834486705 is about 941.4699744596.

The spelling of 834486705 in words is "eight hundred thirty-four million, four hundred eighty-six thousand, seven hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 353 405 449 585 1053 1059 1347 1755 1765 2245 3177 4041 4589 5265 5295 5837 6735 9531 12123 13767 15885 17511 20205 22945 28593 29185 36369 41301 47655 52533 60615 68835 87555 123903 142965 157599 158497 181845 206505 262665 371709 472797 475491 619515 787995 792485 1426473 1858545 2060461 2363985 2377455 4279419 6181383 7132365 10302305 12838257 18544149 21397095 30906915 55632447 64191285 92720745 166897341 278162235 834486705