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34329073 is a prime number
BaseRepresentation
bin1000001011110…
…1000111110001
32101121002122011
42002331013301
532242012243
63223442521
7564535522
oct202750761
971532564
1034329073
1118417a39
12b5b6441
13715c57c
1447b8849
15303189d
hex20bd1f1

34329073 has 2 divisors, whose sum is σ = 34329074. Its totient is φ = 34329072.

The previous prime is 34329037. The next prime is 34329077. The reversal of 34329073 is 37092343.

34329073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (34329037) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22924944 + 11404129 = 4788^2 + 3377^2 .

It is an emirp because it is prime and its reverse (37092343) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34329073 - 217 = 34198001 is a prime.

It is not a weakly prime, because it can be changed into another prime (34329077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17164536 + 17164537.

It is an arithmetic number, because the mean of its divisors is an integer number (17164537).

Almost surely, 234329073 is an apocalyptic number.

It is an amenable number.

34329073 is a deficient number, since it is larger than the sum of its proper divisors (1).

34329073 is an equidigital number, since it uses as much as digits as its factorization.

34329073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 31.

The square root of 34329073 is about 5859.1017229606. The cubic root of 34329073 is about 325.0029916884.

The spelling of 34329073 in words is "thirty-four million, three hundred twenty-nine thousand, seventy-three".