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66004314 = 2311000719
BaseRepresentation
bin1111101111001…
…0010101011010
311121012100220020
43323302111122
5113344114224
610314411310
71431012255
oct373622532
9147170806
1066004314
1134292022
121a130b36
131089cc0c
148aa209c
155bdbc79
hex3ef255a

66004314 has 8 divisors (see below), whose sum is σ = 132008640. Its totient is φ = 22001436.

The previous prime is 66004307. The next prime is 66004327. The reversal of 66004314 is 41340066.

It is a sphenic number, since it is the product of 3 distinct primes.

66004314 is an admirable number.

It is a super-3 number, since 3×660043143 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5500354 + ... + 5500365.

It is an arithmetic number, because the mean of its divisors is an integer number (16501080).

Almost surely, 266004314 is an apocalyptic number.

66004314 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66004314 is a wasteful number, since it uses less digits than its factorization.

66004314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11000724.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 66004314 is about 8124.3039086435. The cubic root of 66004314 is about 404.1328068752.

The spelling of 66004314 in words is "sixty-six million, four thousand, three hundred fourteen".

Divisors: 1 2 3 6 11000719 22001438 33002157 66004314