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34287821 is a prime number
BaseRepresentation
bin1000001011001…
…1000011001101
32101112000001022
42002303003031
532234202241
63222523525
7564304331
oct202630315
971460038
1034287821
1118399a47
12b5965a5
137146869
1447a77c1
15302454b
hex20b30cd

34287821 has 2 divisors, whose sum is σ = 34287822. Its totient is φ = 34287820.

The previous prime is 34287763. The next prime is 34287823. The reversal of 34287821 is 12878243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20884900 + 13402921 = 4570^2 + 3661^2 .

It is a cyclic number.

It is not a de Polignac number, because 34287821 - 210 = 34286797 is a prime.

Together with 34287823, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34287823) 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, 17143910 + 17143911.

It is an arithmetic number, because the mean of its divisors is an integer number (17143911).

Almost surely, 234287821 is an apocalyptic number.

It is an amenable number.

34287821 is a deficient number, since it is larger than the sum of its proper divisors (1).

34287821 is an equidigital number, since it uses as much as digits as its factorization.

34287821 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21504, while the sum is 35.

The square root of 34287821 is about 5855.5803299075. The cubic root of 34287821 is about 324.8727580791.

It can be divided in two parts, 3 and 4287821, that added together give a palindrome (4287824).

The spelling of 34287821 in words is "thirty-four million, two hundred eighty-seven thousand, eight hundred twenty-one".