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344500309873 is a prime number
BaseRepresentation
bin1010000001101011101…
…00011000111101110001
31012221012211002222211001
411000311310120331301
521121014034403443
6422132233122001
733614016214156
oct5006564307561
91187184088731
10344500309873
111231134977a5
1256924559301
1326642365a05
141296129a22d
158e642e5d4d
hex5035d18f71

344500309873 has 2 divisors, whose sum is σ = 344500309874. Its totient is φ = 344500309872.

The previous prime is 344500309861. The next prime is 344500310003. The reversal of 344500309873 is 378903005443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 342421588224 + 2078721649 = 585168^2 + 45593^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-344500309873 is a prime.

It is a super-2 number, since 2×3445003098732 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (344500309073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172250154936 + 172250154937.

It is an arithmetic number, because the mean of its divisors is an integer number (172250154937).

Almost surely, 2344500309873 is an apocalyptic number.

It is an amenable number.

344500309873 is a deficient number, since it is larger than the sum of its proper divisors (1).

344500309873 is an equidigital number, since it uses as much as digits as its factorization.

344500309873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 344500309873 in words is "three hundred forty-four billion, five hundred million, three hundred nine thousand, eight hundred seventy-three".