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34217021 is a prime number
BaseRepresentation
bin1000001010000…
…1110000111101
32101101101221002
42002201300331
532224421041
63221220045
7563561036
oct202416075
971341832
1034217021
1118350833
12b561625
137120577
144789a8d
15300d59b
hex20a1c3d

34217021 has 2 divisors, whose sum is σ = 34217022. Its totient is φ = 34217020.

The previous prime is 34217017. The next prime is 34217059. The reversal of 34217021 is 12071243.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28504921 + 5712100 = 5339^2 + 2390^2 .

It is an emirp because it is prime and its reverse (12071243) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34217021 - 22 = 34217017 is a prime.

It is a super-2 number, since 2×342170212 = 2341609052228882, which contains 22 as substring.

It is a Chen prime.

It is equal to p2101781 and since 34217021 and 2101781 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 34216984 and 34217002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34210021) 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, 17108510 + 17108511.

It is an arithmetic number, because the mean of its divisors is an integer number (17108511).

Almost surely, 234217021 is an apocalyptic number.

It is an amenable number.

34217021 is a deficient number, since it is larger than the sum of its proper divisors (1).

34217021 is an equidigital number, since it uses as much as digits as its factorization.

34217021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 34217021 is about 5849.5316906570. The cubic root of 34217021 is about 324.6489969868.

Adding to 34217021 its reverse (12071243), we get a palindrome (46288264).

The spelling of 34217021 in words is "thirty-four million, two hundred seventeen thousand, twenty-one".