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34127069 is a prime number
BaseRepresentation
bin1000001000101…
…1110011011101
32101012211112112
42002023303131
532214031234
63215243405
7563034554
oct202136335
971184475
1034127069
111829a199
12b519565
1370bb642
144764d9b
152ee1ace
hex208bcdd

34127069 has 2 divisors, whose sum is σ = 34127070. Its totient is φ = 34127068.

The previous prime is 34127033. The next prime is 34127081. The reversal of 34127069 is 96072143.

34127069 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18619225 + 15507844 = 4315^2 + 3938^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34127069 is a prime.

It is a super-2 number, since 2×341270692 = 2329313677061522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34127099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17063534 + 17063535.

It is an arithmetic number, because the mean of its divisors is an integer number (17063535).

Almost surely, 234127069 is an apocalyptic number.

It is an amenable number.

34127069 is a deficient number, since it is larger than the sum of its proper divisors (1).

34127069 is an equidigital number, since it uses as much as digits as its factorization.

34127069 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 34127069 is about 5841.8378101416. The cubic root of 34127069 is about 324.3642609765.

The spelling of 34127069 in words is "thirty-four million, one hundred twenty-seven thousand, sixty-nine".