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34137109 is a prime number
BaseRepresentation
bin1000001000111…
…0010000010101
32101020100022101
42002032100111
532214341414
63215402101
7563106046
oct202162025
971210271
1034137109
11182a6796
12b523331
1370c3096
1447688cd
152ee4a74
hex208e415

34137109 has 2 divisors, whose sum is σ = 34137110. Its totient is φ = 34137108.

The previous prime is 34137097. The next prime is 34137121. The reversal of 34137109 is 90173143.

It is a balanced prime because it is at equal distance from previous prime (34137097) and next prime (34137121).

It can be written as a sum of positive squares in only one way, i.e., 32524209 + 1612900 = 5703^2 + 1270^2 .

It is an emirp because it is prime and its reverse (90173143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34137109 - 213 = 34128917 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34137709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17068554 + 17068555.

It is an arithmetic number, because the mean of its divisors is an integer number (17068555).

Almost surely, 234137109 is an apocalyptic number.

It is an amenable number.

34137109 is a deficient number, since it is larger than the sum of its proper divisors (1).

34137109 is an equidigital number, since it uses as much as digits as its factorization.

34137109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 34137109 is about 5842.6970655683. The cubic root of 34137109 is about 324.3960665976.

The spelling of 34137109 in words is "thirty-four million, one hundred thirty-seven thousand, one hundred nine".