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34285001 is a prime number
BaseRepresentation
bin1000001011001…
…0010111001001
32101111212011212
42002302113021
532234110001
63222502505
7564263162
oct202622711
971455155
1034285001
1118397913
12b594a35
1371454aa
1447a6769
1530237bb
hex20b25c9

34285001 has 2 divisors, whose sum is σ = 34285002. Its totient is φ = 34285000.

The previous prime is 34284919. The next prime is 34285007. The reversal of 34285001 is 10058243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33918976 + 366025 = 5824^2 + 605^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34285001 is a prime.

It is a super-3 number, since 3×342850013 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34285007) 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, 17142500 + 17142501.

It is an arithmetic number, because the mean of its divisors is an integer number (17142501).

Almost surely, 234285001 is an apocalyptic number.

It is an amenable number.

34285001 is a deficient number, since it is larger than the sum of its proper divisors (1).

34285001 is an equidigital number, since it uses as much as digits as its factorization.

34285001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 34285001 is about 5855.3395290111. The cubic root of 34285001 is about 324.8638514541.

The spelling of 34285001 in words is "thirty-four million, two hundred eighty-five thousand, one".