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321000349 is a prime number
BaseRepresentation
bin10011001000100…
…001001110011101
3211101000111200211
4103020201032131
51124134002344
651504052421
710645313035
oct2310411635
9741014624
10321000349
1115521834a
128b604111
1351671647
14308bc8c5
151d2ab334
hex1322139d

321000349 has 2 divisors, whose sum is σ = 321000350. Its totient is φ = 321000348.

The previous prime is 321000299. The next prime is 321000371. The reversal of 321000349 is 943000123.

It is an a-pointer prime, because the next prime (321000371) can be obtained adding 321000349 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 240808324 + 80192025 = 15518^2 + 8955^2 .

It is a cyclic number.

It is not a de Polignac number, because 321000349 - 29 = 320999837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (321030349) 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, 160500174 + 160500175.

It is an arithmetic number, because the mean of its divisors is an integer number (160500175).

Almost surely, 2321000349 is an apocalyptic number.

It is an amenable number.

321000349 is a deficient number, since it is larger than the sum of its proper divisors (1).

321000349 is an equidigital number, since it uses as much as digits as its factorization.

321000349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 321000349 is about 17916.4826068065. The cubic root of 321000349 is about 684.7023758994.

The spelling of 321000349 in words is "three hundred twenty-one million, three hundred forty-nine", and thus it is an aban number.