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66314358 = 232112911549
BaseRepresentation
bin1111110011111…
…0000001110110
311121210010012100
43330332001312
5113434024413
610325202530
71433443215
oct374760166
9147703170
1066314358
1134483a60
121a260446
131097b086
148b4307c
155c4da73
hex3f3e076

66314358 has 48 divisors (see below), whose sum is σ = 162162000. Its totient is φ = 19400640.

The previous prime is 66314357. The next prime is 66314393. The reversal of 66314358 is 85341366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66314357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33 + ... + 11516.

It is an arithmetic number, because the mean of its divisors is an integer number (3378375).

Almost surely, 266314358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66314358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81081000).

66314358 is an abundant number, since it is smaller than the sum of its proper divisors (95847642).

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

66314358 is a wasteful number, since it uses less digits than its factorization.

66314358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11597 (or 11594 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 66314358 is about 8143.3628188851. The cubic root of 66314358 is about 404.7646002870.

The spelling of 66314358 in words is "sixty-six million, three hundred fourteen thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1914 2871 5742 11549 23098 34647 69294 103941 127039 207882 254078 334921 381117 669842 762234 1004763 1143351 2009526 2286702 3014289 3684131 6028578 7368262 11052393 22104786 33157179 66314358