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349008318781 is a prime number
BaseRepresentation
bin1010001010000101000…
…01000101000100111101
31020100211222201120110221
411011002201011010331
521204232112200111
6424155431301341
734133515522243
oct5050241050475
91210758646427
10349008318781
111250171085a1
125778221a851
1326bb02b49c5
1412c6bc8c793
159129e67371
hex514284513d

349008318781 has 2 divisors, whose sum is σ = 349008318782. Its totient is φ = 349008318780.

The previous prime is 349008318677. The next prime is 349008318793. The reversal of 349008318781 is 187813800943.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312666615556 + 36341703225 = 559166^2 + 190635^2 .

It is a cyclic number.

It is not a de Polignac number, because 349008318781 - 27 = 349008318653 is a prime.

It is a super-4 number, since 4×3490083187814 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (349008318881) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 174504159390 + 174504159391.

It is an arithmetic number, because the mean of its divisors is an integer number (174504159391).

Almost surely, 2349008318781 is an apocalyptic number.

It is an amenable number.

349008318781 is a deficient number, since it is larger than the sum of its proper divisors (1).

349008318781 is an equidigital number, since it uses as much as digits as its factorization.

349008318781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1161216, while the sum is 52.

The spelling of 349008318781 in words is "three hundred forty-nine billion, eight million, three hundred eighteen thousand, seven hundred eighty-one".