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34218257 is a prime number
BaseRepresentation
bin1000001010001…
…0000100010001
32101101110121212
42002202010101
532224441012
63221225505
7563564453
oct202420421
971343555
1034218257
1118351757
12b562295
137120cb8
14478a2d3
15300db22
hex20a2111

34218257 has 2 divisors, whose sum is σ = 34218258. Its totient is φ = 34218256.

The previous prime is 34218253. The next prime is 34218269. The reversal of 34218257 is 75281243.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31629376 + 2588881 = 5624^2 + 1609^2 .

It is an emirp because it is prime and its reverse (75281243) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34218257 - 22 = 34218253 is a prime.

It is a super-2 number, since 2×342182572 = 2341778224236098, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34218251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17109128 + 17109129.

It is an arithmetic number, because the mean of its divisors is an integer number (17109129).

Almost surely, 234218257 is an apocalyptic number.

It is an amenable number.

34218257 is a deficient number, since it is larger than the sum of its proper divisors (1).

34218257 is an equidigital number, since it uses as much as digits as its factorization.

34218257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13440, while the sum is 32.

The square root of 34218257 is about 5849.6373391861. The cubic root of 34218257 is about 324.6529059705.

The spelling of 34218257 in words is "thirty-four million, two hundred eighteen thousand, two hundred fifty-seven".