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344857354097 is a prime number
BaseRepresentation
bin1010000010010110001…
…10011001111101110001
31012222010200221201102012
411001023012121331301
521122231440312342
6422231505532305
733625613100344
oct5011306317561
91188120851365
10344857354097
11123286a93373
1256a04044095
132669b317299
141299687c45b
158e85821b82
hex504b199f71

344857354097 has 2 divisors, whose sum is σ = 344857354098. Its totient is φ = 344857354096.

The previous prime is 344857354021. The next prime is 344857354103. The reversal of 344857354097 is 790453758443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 249559194481 + 95298159616 = 499559^2 + 308704^2 .

It is a cyclic number.

It is not a de Polignac number, because 344857354097 - 222 = 344853159793 is a prime.

It is not a weakly prime, because it can be changed into another prime (344857354997) 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, 172428677048 + 172428677049.

It is an arithmetic number, because the mean of its divisors is an integer number (172428677049).

Almost surely, 2344857354097 is an apocalyptic number.

It is an amenable number.

344857354097 is a deficient number, since it is larger than the sum of its proper divisors (1).

344857354097 is an equidigital number, since it uses as much as digits as its factorization.

344857354097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50803200, while the sum is 59.

The spelling of 344857354097 in words is "three hundred forty-four billion, eight hundred fifty-seven million, three hundred fifty-four thousand, ninety-seven".