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34343201329 is a prime number
BaseRepresentation
bin11111111111000000…
…111010101000110001
310021122102210101112121
4133333000322220301
51030313324420304
623435501554241
72324025252253
oct377700725061
9107572711477
1034343201329
1113623929518
1267a5575981
13331412c308
14193b1b9cd3
15d60093554
hex7ff03aa31

34343201329 has 2 divisors, whose sum is σ = 34343201330. Its totient is φ = 34343201328.

The previous prime is 34343201323. The next prime is 34343201359. The reversal of 34343201329 is 92310234343.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33042877729 + 1300323600 = 181777^2 + 36060^2 .

It is a cyclic number.

It is not a de Polignac number, because 34343201329 - 25 = 34343201297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34343201294 and 34343201303.

It is not a weakly prime, because it can be changed into another prime (34343201323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17171600664 + 17171600665.

It is an arithmetic number, because the mean of its divisors is an integer number (17171600665).

Almost surely, 234343201329 is an apocalyptic number.

It is an amenable number.

34343201329 is a deficient number, since it is larger than the sum of its proper divisors (1).

34343201329 is an equidigital number, since it uses as much as digits as its factorization.

34343201329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46656, while the sum is 34.

The spelling of 34343201329 in words is "thirty-four billion, three hundred forty-three million, two hundred one thousand, three hundred twenty-nine".