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34146821 is a prime number
BaseRepresentation
bin1000001001000…
…0101000000101
32101020211122002
42002100220011
532220144241
63215515045
7563146262
oct202205005
971224562
1034146821
1118303015
12b528a85
1370c7627
14476c269
152ee789b
hex2090a05

34146821 has 2 divisors, whose sum is σ = 34146822. Its totient is φ = 34146820.

The previous prime is 34146799. The next prime is 34146823. The reversal of 34146821 is 12864143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34093921 + 52900 = 5839^2 + 230^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34146821 is a prime.

Together with 34146823, 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 (34146823) 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, 17073410 + 17073411.

It is an arithmetic number, because the mean of its divisors is an integer number (17073411).

Almost surely, 234146821 is an apocalyptic number.

It is an amenable number.

34146821 is a deficient number, since it is larger than the sum of its proper divisors (1).

34146821 is an equidigital number, since it uses as much as digits as its factorization.

34146821 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4608, while the sum is 29.

The square root of 34146821 is about 5843.5281294779. The cubic root of 34146821 is about 324.4268272172.

The spelling of 34146821 in words is "thirty-four million, one hundred forty-six thousand, eight hundred twenty-one".