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34300213 is a prime number
BaseRepresentation
bin1000001011011…
…0000100110101
32101112122001021
42002312010311
532240101323
63223101141
7564355423
oct202660465
971478037
1034300213
11183a8292
12b5a17b1
13714c3ac
1447ac113
15302805d
hex20b6135

34300213 has 2 divisors, whose sum is σ = 34300214. Its totient is φ = 34300212.

The previous prime is 34300207. The next prime is 34300219. The reversal of 34300213 is 31200343.

It is a balanced prime because it is at equal distance from previous prime (34300207) and next prime (34300219).

It can be written as a sum of positive squares in only one way, i.e., 22071204 + 12229009 = 4698^2 + 3497^2 .

It is an emirp because it is prime and its reverse (31200343) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34300213 is a prime.

It is a super-2 number, since 2×343002132 = 2353009223690738, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34300219) 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, 17150106 + 17150107.

It is an arithmetic number, because the mean of its divisors is an integer number (17150107).

Almost surely, 234300213 is an apocalyptic number.

It is an amenable number.

34300213 is a deficient number, since it is larger than the sum of its proper divisors (1).

34300213 is an equidigital number, since it uses as much as digits as its factorization.

34300213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 34300213 is about 5856.6383702599. The cubic root of 34300213 is about 324.9118909083.

Adding to 34300213 its reverse (31200343), we get a palindrome (65500556).

The spelling of 34300213 in words is "thirty-four million, three hundred thousand, two hundred thirteen".