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34074070327327 is a prime number
BaseRepresentation
bin1111011111101011111001…
…10110111010000000011111
311110122110010112202221200211
413233311330312322000133
513431232144000433302
6200245224541233251
710114525140654442
oct757657466720037
9143573115687624
1034074070327327
11a947806432978
1239a3949262827
13160222ba28524
1485b29db21659
153e15288acad7
hex1efd7cdba01f

34074070327327 has 2 divisors, whose sum is σ = 34074070327328. Its totient is φ = 34074070327326.

The previous prime is 34074070327279. The next prime is 34074070327351. The reversal of 34074070327327 is 72372307047043.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34074070327327 is a prime.

It is a super-2 number, since 2×340740703273272 (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 (34074070337327) 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, 17037035163663 + 17037035163664.

It is an arithmetic number, because the mean of its divisors is an integer number (17037035163664).

Almost surely, 234074070327327 is an apocalyptic number.

34074070327327 is a deficient number, since it is larger than the sum of its proper divisors (1).

34074070327327 is an equidigital number, since it uses as much as digits as its factorization.

34074070327327 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4148928, while the sum is 49.

The spelling of 34074070327327 in words is "thirty-four trillion, seventy-four billion, seventy million, three hundred twenty-seven thousand, three hundred twenty-seven".