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66313341 = 327368149
BaseRepresentation
bin1111110011110…
…1110001111101
311121210001210200
43330331301331
5113434011331
610325154113
71433440233
oct374756175
9147701720
1066313341
1134483216
121a25b939
131097a783
148b42953
155c4d5e6
hex3f3dc7d

66313341 has 6 divisors (see below), whose sum is σ = 95785950. Its totient is φ = 44208888.

The previous prime is 66313339. The next prime is 66313349. The reversal of 66313341 is 14331366.

66313341 is a `hidden beast` number, since 6 + 6 + 313 + 341 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41602500 + 24710841 = 6450^2 + 4971^2 .

It is not a de Polignac number, because 66313341 - 21 = 66313339 is a prime.

It is a super-3 number, since 3×663133413 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66313349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3684066 + ... + 3684083.

It is an arithmetic number, because the mean of its divisors is an integer number (15964325).

Almost surely, 266313341 is an apocalyptic number.

It is an amenable number.

66313341 is a deficient number, since it is larger than the sum of its proper divisors (29472609).

66313341 is a wasteful number, since it uses less digits than its factorization.

66313341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7368155 (or 7368152 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 66313341 is about 8143.3003751550. The cubic root of 66313341 is about 404.7625311137.

The spelling of 66313341 in words is "sixty-six million, three hundred thirteen thousand, three hundred forty-one".

Divisors: 1 3 9 7368149 22104447 66313341