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68584337 is a prime number
BaseRepresentation
bin1000001011010…
…00001110010001
311210001110000122
410011220032101
5120024144322
610450000025
71461646223
oct405501621
9153043018
1068584337
1135794478
121ab76015
1311294363
149174413
15604b442
hex4168391

68584337 has 2 divisors, whose sum is σ = 68584338. Its totient is φ = 68584336.

The previous prime is 68584297. The next prime is 68584343. The reversal of 68584337 is 73348586.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49434961 + 19149376 = 7031^2 + 4376^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-68584337 is a prime.

It is a super-3 number, since 3×685843373 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (68584237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 34292168 + 34292169.

It is an arithmetic number, because the mean of its divisors is an integer number (34292169).

Almost surely, 268584337 is an apocalyptic number.

It is an amenable number.

68584337 is a deficient number, since it is larger than the sum of its proper divisors (1).

68584337 is an equidigital number, since it uses as much as digits as its factorization.

68584337 is an evil number, because the sum of its binary digits is even.

The product of its digits is 483840, while the sum is 44.

The square root of 68584337 is about 8281.5660958541. The cubic root of 68584337 is about 409.3313252709.

It can be divided in two parts, 68584 and 337, that added together give a cube (68921 = 413).

The spelling of 68584337 in words is "sixty-eight million, five hundred eighty-four thousand, three hundred thirty-seven".