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416342809 is a prime number
BaseRepresentation
bin11000110100001…
…110001100011001
31002000102101222001
4120310032030121
51323040432214
6105151401001
713213566301
oct3064161431
91060371861
10416342809
111a4018573
12b7523161
13683441bc
143d41a601
1526840c74
hex18d0e319

416342809 has 2 divisors, whose sum is σ = 416342810. Its totient is φ = 416342808.

The previous prime is 416342749. The next prime is 416342819. The reversal of 416342809 is 908243614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 413227584 + 3115225 = 20328^2 + 1765^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-416342809 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (416342819) 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 as a sum of consecutive naturals, namely, 208171404 + 208171405.

It is an arithmetic number, because the mean of its divisors is an integer number (208171405).

Almost surely, 2416342809 is an apocalyptic number.

It is an amenable number.

416342809 is a deficient number, since it is larger than the sum of its proper divisors (1).

416342809 is an equidigital number, since it uses as much as digits as its factorization.

416342809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 416342809 is about 20404.4801207970. The cubic root of 416342809 is about 746.7072292971.

The spelling of 416342809 in words is "four hundred sixteen million, three hundred forty-two thousand, eight hundred nine".