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834739984 = 241317236069
BaseRepresentation
bin110001110000010…
…001111100010000
32011011201011222201
4301300101330100
53202143134414
6214455212544
726454113161
oct6160217420
92134634881
10834739984
11399209561
121b3677154
13103c274b0
147cc0d768
154d43a574
hex31c11f10

834739984 has 40 divisors (see below), whose sum is σ = 1844178840. Its totient is φ = 362600448.

The previous prime is 834739949. The next prime is 834739987. The reversal of 834739984 is 489937438.

It can be written as a sum of positive squares in 4 ways, for example, as 685584 + 834054400 = 828^2 + 28880^2 .

It is not an unprimeable number, because it can be changed into a prime (834739987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114499 + ... + 121570.

It is an arithmetic number, because the mean of its divisors is an integer number (46104471).

Almost surely, 2834739984 is an apocalyptic number.

It is an amenable number.

834739984 is an abundant number, since it is smaller than the sum of its proper divisors (1009438856).

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

834739984 is a wasteful number, since it uses less digits than its factorization.

834739984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236107 (or 236101 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 55.

The square root of 834739984 is about 28891.8670909306. The cubic root of 834739984 is about 941.5652148237.

The spelling of 834739984 in words is "eight hundred thirty-four million, seven hundred thirty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 236069 472138 944276 1888552 3068897 3777104 4013173 6137794 8026346 12275588 16052692 24551176 32105384 49102352 52171249 64210768 104342498 208684996 417369992 834739984