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34242821 is a prime number
BaseRepresentation
bin1000001010100…
…0000100000101
32101102201022122
42002220010011
532231232241
63221535325
7564026204
oct202500405
971381278
1034242821
1118369158
12b574545
13712c232
14479523b
15301604b
hex20a8105

34242821 has 2 divisors, whose sum is σ = 34242822. Its totient is φ = 34242820.

The previous prime is 34242781. The next prime is 34242827. The reversal of 34242821 is 12824243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24700900 + 9541921 = 4970^2 + 3089^2 .

It is an emirp because it is prime and its reverse (12824243) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34242821 - 26 = 34242757 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34242827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17121410 + 17121411.

It is an arithmetic number, because the mean of its divisors is an integer number (17121411).

Almost surely, 234242821 is an apocalyptic number.

It is an amenable number.

34242821 is a deficient number, since it is larger than the sum of its proper divisors (1).

34242821 is an equidigital number, since it uses as much as digits as its factorization.

34242821 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3072, while the sum is 26.

The square root of 34242821 is about 5851.7365798539. The cubic root of 34242821 is about 324.7305727599.

The spelling of 34242821 in words is "thirty-four million, two hundred forty-two thousand, eight hundred twenty-one".