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34000679 is a prime number
BaseRepresentation
bin1000000110110…
…0111100100111
32100222102011102
42001230330213
532201010204
63212430315
7562000226
oct201547447
970872142
1034000679
1118213239
12b47839b
137075c5b
144730cbd
152eb941e
hex206cf27

34000679 has 2 divisors, whose sum is σ = 34000680. Its totient is φ = 34000678.

The previous prime is 34000667. The next prime is 34000717. The reversal of 34000679 is 97600043.

34000679 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34000679 is a prime.

It is a super-2 number, since 2×340006792 = 2312092344922082, which contains 22 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34000639) 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, 17000339 + 17000340.

It is an arithmetic number, because the mean of its divisors is an integer number (17000340).

Almost surely, 234000679 is an apocalyptic number.

34000679 is a deficient number, since it is larger than the sum of its proper divisors (1).

34000679 is an equidigital number, since it uses as much as digits as its factorization.

34000679 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 34000679 is about 5831.0101183243. The cubic root of 34000679 is about 323.9633366785.

It can be divided in two parts, 3400067 and 9, that multiplied together give a palindrome (30600603).

The spelling of 34000679 in words is "thirty-four million, six hundred seventy-nine", and thus it is an aban number.