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34864769 is a prime number
BaseRepresentation
bin1000010011111…
…1111010000001
32102121022110202
42010333322001
532411133034
63243134545
7602226362
oct204777201
972538422
1034864769
1118753465
12b814455
1372b9354
1448b7b69
1530da47e
hex213fe81

34864769 has 2 divisors, whose sum is σ = 34864770. Its totient is φ = 34864768.

The previous prime is 34864729. The next prime is 34864777. The reversal of 34864769 is 96746843.

34864769 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., 34374769 + 490000 = 5863^2 + 700^2 .

It is a cyclic number.

It is not a de Polignac number, because 34864769 - 212 = 34860673 is a prime.

It is a super-2 number, since 2×348647692 = 2431104234846722, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34864729) 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, 17432384 + 17432385.

It is an arithmetic number, because the mean of its divisors is an integer number (17432385).

Almost surely, 234864769 is an apocalyptic number.

It is an amenable number.

34864769 is a deficient number, since it is larger than the sum of its proper divisors (1).

34864769 is an equidigital number, since it uses as much as digits as its factorization.

34864769 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 870912, while the sum is 47.

The square root of 34864769 is about 5904.6396164372. The cubic root of 34864769 is about 326.6848019688.

The spelling of 34864769 in words is "thirty-four million, eight hundred sixty-four thousand, seven hundred sixty-nine".