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345248345249 is a prime number
BaseRepresentation
bin1010000011000100110…
…01111010110010100001
31020000010221200010102222
411001202121322302201
521124032034021444
6422334354120425
733641401341263
oct5014231726241
91200127603388
10345248345249
11123467765855
1256ab2b80115
13267313231b2
14129d2779b33
158ea9d05eee
hex506267aca1

345248345249 has 2 divisors, whose sum is σ = 345248345250. Its totient is φ = 345248345248.

The previous prime is 345248345219. The next prime is 345248345257. The reversal of 345248345249 is 942543842543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 330099658849 + 15148686400 = 574543^2 + 123080^2 .

It is an emirp because it is prime and its reverse (942543842543) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-345248345249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 345248345249.

It is not a weakly prime, because it can be changed into another prime (345248345219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172624172624 + 172624172625.

It is an arithmetic number, because the mean of its divisors is an integer number (172624172625).

Almost surely, 2345248345249 is an apocalyptic number.

It is an amenable number.

345248345249 is a deficient number, since it is larger than the sum of its proper divisors (1).

345248345249 is an equidigital number, since it uses as much as digits as its factorization.

345248345249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16588800, while the sum is 53.

The spelling of 345248345249 in words is "three hundred forty-five billion, two hundred forty-eight million, three hundred forty-five thousand, two hundred forty-nine".