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66314934 = 2327323467
BaseRepresentation
bin1111110011111…
…0001010110110
311121210010222200
43330332022312
5113434034214
610325205330
71433445000
oct374761266
9147703880
1066314934
1134484434
121a260846
131097b40a
148b43370
155c4dd09
hex3f3e2b6

66314934 has 96 divisors (see below), whose sum is σ = 175219200. Its totient is φ = 18084528.

The previous prime is 66314929. The next prime is 66314939. The reversal of 66314934 is 43941366.

It is an interprime number because it is at equal distance from previous prime (66314929) and next prime (66314939).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66314939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141769 + ... + 142235.

It is an arithmetic number, because the mean of its divisors is an integer number (1825200).

Almost surely, 266314934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66314934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87609600).

66314934 is an abundant number, since it is smaller than the sum of its proper divisors (108904266).

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

66314934 is a wasteful number, since it uses less digits than its factorization.

66314934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 502 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 66314934 is about 8143.3981850331. The cubic root of 66314934 is about 404.7657721988.

The spelling of 66314934 in words is "sixty-six million, three hundred fourteen thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 98 126 138 147 161 207 294 322 343 414 441 467 483 686 882 934 966 1029 1127 1401 1449 2058 2254 2802 2898 3087 3269 3381 4203 6174 6538 6762 7889 8406 9807 10143 10741 15778 19614 20286 21482 22883 23667 29421 32223 45766 47334 58842 64446 68649 71001 75187 96669 137298 142002 150374 160181 193338 205947 225561 320362 411894 451122 480543 526309 676683 961086 1052618 1353366 1441629 1578927 2883258 3157854 3684163 4736781 7368326 9473562 11052489 22104978 33157467 66314934