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363066241 is a prime number
BaseRepresentation
bin10101101000111…
…111001110000001
3221022011200020211
4111220333032001
51220421104431
6100005434121
711666004106
oct2550771601
9838150224
10363066241
11176a3a04a
12a170b941
135a2ac5c5
143630caad
1521d1a2b1
hex15a3f381

363066241 has 2 divisors, whose sum is σ = 363066242. Its totient is φ = 363066240.

The previous prime is 363066217. The next prime is 363066289. The reversal of 363066241 is 142660363.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 334121841 + 28944400 = 18279^2 + 5380^2 .

It is an emirp because it is prime and its reverse (142660363) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 363066241 - 27 = 363066113 is a prime.

It is a super-3 number, since 3×3630662413 (a number of 27 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (363061241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 181533120 + 181533121.

It is an arithmetic number, because the mean of its divisors is an integer number (181533121).

Almost surely, 2363066241 is an apocalyptic number.

It is an amenable number.

363066241 is a deficient number, since it is larger than the sum of its proper divisors (1).

363066241 is an equidigital number, since it uses as much as digits as its factorization.

363066241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 363066241 is about 19054.2971793766. The cubic root of 363066241 is about 713.3926374886.

The spelling of 363066241 in words is "three hundred sixty-three million, sixty-six thousand, two hundred forty-one".