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34221329 is a prime number
BaseRepresentation
bin1000001010001…
…0110100010001
32101101121211122
42002202310101
532230040304
63221252025
7563606432
oct202426421
971347748
1034221329
1118353a9a
12b564015
13712250c
14478b489
15300e9be
hex20a2d11

34221329 has 2 divisors, whose sum is σ = 34221330. Its totient is φ = 34221328.

The previous prime is 34221287. The next prime is 34221331. The reversal of 34221329 is 92312243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30780304 + 3441025 = 5548^2 + 1855^2 .

It is an emirp because it is prime and its reverse (92312243) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34221329 is a prime.

It is a Sophie Germain prime.

Together with 34221331, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34221298 and 34221307.

It is not a weakly prime, because it can be changed into another prime (34221359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17110664 + 17110665.

It is an arithmetic number, because the mean of its divisors is an integer number (17110665).

Almost surely, 234221329 is an apocalyptic number.

It is an amenable number.

34221329 is a deficient number, since it is larger than the sum of its proper divisors (1).

34221329 is an equidigital number, since it uses as much as digits as its factorization.

34221329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 26.

The square root of 34221329 is about 5849.8999136737. The cubic root of 34221329 is about 324.6626210950.

The spelling of 34221329 in words is "thirty-four million, two hundred twenty-one thousand, three hundred twenty-nine".