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34731600809 is a prime number
BaseRepresentation
bin100000010110001010…
…100010101110101001
310022122111122010110112
4200112022202232221
51032112242211214
623542214424105
72336452510253
oct402612425651
9108574563415
1034731600809
11138030a0824
126893662035
13337673b6a9
141976a00cd3
15d84214a3e
hex8162a2ba9

34731600809 has 2 divisors, whose sum is σ = 34731600810. Its totient is φ = 34731600808.

The previous prime is 34731600779. The next prime is 34731600881. The reversal of 34731600809 is 90800613743.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28875525184 + 5856075625 = 169928^2 + 76525^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34731600809 is a prime.

It is not a weakly prime, because it can be changed into another prime (34731600889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17365800404 + 17365800405.

It is an arithmetic number, because the mean of its divisors is an integer number (17365800405).

Almost surely, 234731600809 is an apocalyptic number.

It is an amenable number.

34731600809 is a deficient number, since it is larger than the sum of its proper divisors (1).

34731600809 is an equidigital number, since it uses as much as digits as its factorization.

34731600809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 41.

The spelling of 34731600809 in words is "thirty-four billion, seven hundred thirty-one million, six hundred thousand, eight hundred nine".