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817311349 is a prime number
BaseRepresentation
bin110000101101110…
…010111001110101
32002221220201101201
4300231302321311
53133212430344
6213033452501
726153013631
oct6055627165
92087821351
10817311349
1138a395128
121a9871131
131004345aa
147a793dc1
154bb464d4
hex30b72e75

817311349 has 2 divisors, whose sum is σ = 817311350. Its totient is φ = 817311348.

The previous prime is 817311337. The next prime is 817311377. The reversal of 817311349 is 943113718.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 615387249 + 201924100 = 24807^2 + 14210^2 .

It is a cyclic number.

It is not a de Polignac number, because 817311349 - 27 = 817311221 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (817311149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 408655674 + 408655675.

It is an arithmetic number, because the mean of its divisors is an integer number (408655675).

Almost surely, 2817311349 is an apocalyptic number.

It is an amenable number.

817311349 is a deficient number, since it is larger than the sum of its proper divisors (1).

817311349 is an equidigital number, since it uses as much as digits as its factorization.

817311349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144, while the sum is 37.

The square root of 817311349 is about 28588.6576984650. The cubic root of 817311349 is about 934.9660540356.

The spelling of 817311349 in words is "eight hundred seventeen million, three hundred eleven thousand, three hundred forty-nine".