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806184342 = 232379291303
BaseRepresentation
bin110000000011010…
…110010110010110
32002011222102000100
4300003112112112
53122340344332
6211555154530
725656311445
oct6003262626
92064872010
10806184342
11384085257
121a5ba5a46
13cb039a72
14790d8d5c
154ab9967c
hex300d6596

806184342 has 48 divisors (see below), whose sum is σ = 1797251040. Its totient is φ = 260983296.

The previous prime is 806184341. The next prime is 806184343. The reversal of 806184342 is 243481608.

806184342 is a `hidden beast` number, since 8 + 0 + 618 + 4 + 34 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (806184341) and next prime (806184343).

It is a junction number, because it is equal to n+sod(n) for n = 806184297 and 806184306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806184341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 618063 + ... + 619365.

It is an arithmetic number, because the mean of its divisors is an integer number (37442730).

Almost surely, 2806184342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806184342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898625520).

806184342 is an abundant number, since it is smaller than the sum of its proper divisors (991066698).

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

806184342 is a wasteful number, since it uses less digits than its factorization.

806184342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 806184342 is about 28393.3855325497. The cubic root of 806184342 is about 930.7037268107.

The spelling of 806184342 in words is "eight hundred six million, one hundred eighty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 929 1303 1858 2606 2787 3909 5574 7818 8361 11727 16722 23454 34373 48211 68746 96422 103119 144633 206238 289266 309357 433899 618714 867798 1210487 2420974 3631461 7262922 10894383 21788766 44788019 89576038 134364057 268728114 403092171 806184342