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34340373767341 is a prime number
BaseRepresentation
bin1111100111011011111011…
…10001111010010010101101
311111120220111200200101001201
413303231331301322102231
514000113041141023331
6201011425552205501
710143003321602335
oct763557561722255
9144526450611051
1034340373767341
11aa3a741815994
123a27489839891
13162138b6a4135
1486a1238d20c5
153e8412b5aa61
hex1f3b7dc7a4ad

34340373767341 has 2 divisors, whose sum is σ = 34340373767342. Its totient is φ = 34340373767340.

The previous prime is 34340373767291. The next prime is 34340373767347. The reversal of 34340373767341 is 14376737304343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33881305185225 + 459068582116 = 5820765^2 + 677546^2 .

It is a cyclic number.

It is not a de Polignac number, because 34340373767341 - 27 = 34340373767213 is a prime.

It is a super-2 number, since 2×343403737673412 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34340373767347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17170186883670 + 17170186883671.

It is an arithmetic number, because the mean of its divisors is an integer number (17170186883671).

Almost surely, 234340373767341 is an apocalyptic number.

It is an amenable number.

34340373767341 is a deficient number, since it is larger than the sum of its proper divisors (1).

34340373767341 is an equidigital number, since it uses as much as digits as its factorization.

34340373767341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32006016, while the sum is 55.

The spelling of 34340373767341 in words is "thirty-four trillion, three hundred forty billion, three hundred seventy-three million, seven hundred sixty-seven thousand, three hundred forty-one".