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66340365 = 35721353131
BaseRepresentation
bin1111110100010…
…0011000001101
311121211102212120
43331010120031
5113440342430
610325523153
71433612100
oct375043015
9147742776
1066340365
11344a1553
121a2734b9
1310989b70
148b4c737
155c56610
hex3f4460d

66340365 has 96 divisors (see below), whose sum is σ = 136515456. Its totient is φ = 27256320.

The previous prime is 66340327. The next prime is 66340387. The reversal of 66340365 is 56304366.

It is a happy number.

66340365 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66340365 - 210 = 66339341 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 in 95 ways as a sum of consecutive naturals, for example, 506350 + ... + 506480.

It is an arithmetic number, because the mean of its divisors is an integer number (1422036).

Almost surely, 266340365 is an apocalyptic number.

66340365 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66340365 is an abundant number, since it is smaller than the sum of its proper divisors (70175091).

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

66340365 is a wasteful number, since it uses less digits than its factorization.

66340365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The square root of 66340365 is about 8144.9594842455. The cubic root of 66340365 is about 404.8175065628.

The spelling of 66340365 in words is "sixty-six million, three hundred forty thousand, three hundred sixty-five".

Divisors: 1 3 5 7 13 15 21 35 39 49 53 65 91 105 131 147 159 195 245 265 273 371 393 455 637 655 689 735 795 917 1113 1365 1703 1855 1911 1965 2067 2597 2751 3185 3445 4585 4823 5109 5565 6419 6943 7791 8515 9555 10335 11921 12985 13755 14469 19257 20829 24115 25545 32095 33761 34715 35763 38955 48601 59605 72345 83447 90259 96285 101283 104145 145803 168805 178815 243005 250341 270777 340207 417235 451295 506415 631813 729015 1020621 1251705 1353885 1701035 1895439 3159065 4422691 5103105 9477195 13268073 22113455 66340365