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66311934 = 231317431163
BaseRepresentation
bin1111110011110…
…1011011111110
311121202222212120
43330331123332
5113433440214
610325143410
71433433153
oct374753376
9147688776
1066311934
1134482157
121a25ab66
1310979c40
148b4222a
155c4cea9
hex3f3d6fe

66311934 has 64 divisors (see below), whose sum is σ = 154877184. Its totient is φ = 18740736.

The previous prime is 66311923. The next prime is 66311939. The reversal of 66311934 is 43911366.

It is a junction number, because it is equal to n+sod(n) for n = 66311895 and 66311904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66311939) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56437 + ... + 57599.

It is an arithmetic number, because the mean of its divisors is an integer number (2419956).

Almost surely, 266311934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66311934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77438592).

66311934 is an abundant number, since it is smaller than the sum of its proper divisors (88565250).

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

66311934 is a wasteful number, since it uses less digits than its factorization.

66311934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241.

The product of its digits is 11664, while the sum is 33.

The square root of 66311934 is about 8143.2139846623. The cubic root of 66311934 is about 404.7596684171.

The spelling of 66311934 in words is "sixty-six million, three hundred eleven thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 13 17 26 34 39 43 51 78 86 102 129 221 258 442 559 663 731 1118 1163 1326 1462 1677 2193 2326 3354 3489 4386 6978 9503 15119 19006 19771 28509 30238 39542 45357 50009 57018 59313 90714 100018 118626 150027 257023 300054 514046 650117 771069 850153 1300234 1542138 1700306 1950351 2550459 3900702 5100918 11051989 22103978 33155967 66311934