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348765000329 is a prime number
BaseRepresentation
bin1010001001101000000…
…00111001001010001001
31020100020000212201022102
411010310000321022021
521203232320002304
6424115340203145
734124502406064
oct5046400711211
91210200781272
10348765000329
11124a01828869
12577148394b5
1326b71a715a5
1412c478318db
159113902d1e
hex5134039289

348765000329 has 2 divisors, whose sum is σ = 348765000330. Its totient is φ = 348765000328.

The previous prime is 348765000307. The next prime is 348765000349. The reversal of 348765000329 is 923000567843.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 288957852304 + 59807148025 = 537548^2 + 244555^2 .

It is a cyclic number.

It is not a de Polignac number, because 348765000329 - 212 = 348764996233 is a prime.

It is not a weakly prime, because it can be changed into another prime (348765000349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 174382500164 + 174382500165.

It is an arithmetic number, because the mean of its divisors is an integer number (174382500165).

Almost surely, 2348765000329 is an apocalyptic number.

It is an amenable number.

348765000329 is a deficient number, since it is larger than the sum of its proper divisors (1).

348765000329 is an equidigital number, since it uses as much as digits as its factorization.

348765000329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 348765000329 in words is "three hundred forty-eight billion, seven hundred sixty-five million, three hundred twenty-nine", and thus it is an aban number.