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204642329 is a prime number
BaseRepresentation
bin11000011001010…
…01100000011001
3112021001220111112
430030221200121
5404342023304
632150110105
75033300603
oct1414514031
9467056445
10204642329
11a55738a1
125864b335
1333521348
141d270173
1512e74b6e
hexc329819

204642329 has 2 divisors, whose sum is σ = 204642330. Its totient is φ = 204642328.

The previous prime is 204642313. The next prime is 204642343. The reversal of 204642329 is 923246402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 188320729 + 16321600 = 13723^2 + 4040^2 .

It is a cyclic number.

It is not a de Polignac number, because 204642329 - 24 = 204642313 is a prime.

It is a super-3 number, since 3×2046423293 (a number of 26 digits) contains 333 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 204642295 and 204642304.

It is not a weakly prime, because it can be changed into another prime (204642629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102321164 + 102321165.

It is an arithmetic number, because the mean of its divisors is an integer number (102321165).

Almost surely, 2204642329 is an apocalyptic number.

It is an amenable number.

204642329 is a deficient number, since it is larger than the sum of its proper divisors (1).

204642329 is an equidigital number, since it uses as much as digits as its factorization.

204642329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 204642329 is about 14305.3251972823. The cubic root of 204642329 is about 589.2937340379.

The spelling of 204642329 in words is "two hundred four million, six hundred forty-two thousand, three hundred twenty-nine".