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540681341 is a prime number
BaseRepresentation
bin100000001110100…
…010010001111101
31101200101110100212
4200032202101331
52101403300331
6125352402205
716253500304
oct4016422175
91350343325
10540681341
11258222992
121310a6365
1388029ab5
1451b4543b
1532701d2b
hex203a247d

540681341 has 2 divisors, whose sum is σ = 540681342. Its totient is φ = 540681340.

The previous prime is 540681329. The next prime is 540681343. The reversal of 540681341 is 143186045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 359671225 + 181010116 = 18965^2 + 13454^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-540681341 is a prime.

It is a Sophie Germain prime.

Together with 540681343, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 540681298 and 540681307.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540681343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270340670 + 270340671.

It is an arithmetic number, because the mean of its divisors is an integer number (270340671).

Almost surely, 2540681341 is an apocalyptic number.

It is an amenable number.

540681341 is a deficient number, since it is larger than the sum of its proper divisors (1).

540681341 is an equidigital number, since it uses as much as digits as its factorization.

540681341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 540681341 is about 23252.5555799787. Note that the first 4 decimals coincide. The cubic root of 540681341 is about 814.6676306669.

The spelling of 540681341 in words is "five hundred forty million, six hundred eighty-one thousand, three hundred forty-one".