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66230340 = 223511234363
BaseRepresentation
bin1111110010100…
…1100001000100
311121121211221120
43330221201010
5113423332330
610323313540
71432643241
oct374514104
9147554846
1066230340
1134426920
121a21b8b0
131094ba67
148b205c8
155c33c10
hex3f29844

66230340 has 96 divisors (see below), whose sum is σ = 211147776. Its totient is φ = 15354240.

The previous prime is 66230309. The next prime is 66230341. The reversal of 66230340 is 4303266.

It is a self number, because there is not a number n which added to its sum of digits gives 66230340.

It is not an unprimeable number, because it can be changed into a prime (66230341) 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, 12999 + ... + 17361.

It is an arithmetic number, because the mean of its divisors is an integer number (2199456).

Almost surely, 266230340 is an apocalyptic number.

66230340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66230340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105573888).

66230340 is an abundant number, since it is smaller than the sum of its proper divisors (144917436).

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

66230340 is a wasteful number, since it uses less digits than its factorization.

66230340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4409 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 66230340 is about 8138.2025042389. The cubic root of 66230340 is about 404.5935871236.

The spelling of 66230340 in words is "sixty-six million, two hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 4363 5060 7590 8726 13089 15180 17452 21815 26178 43630 47993 52356 65445 87260 95986 100349 130890 143979 191972 200698 239965 261780 287958 301047 401396 479930 501745 575916 602094 719895 959860 1003490 1103839 1204188 1439790 1505235 2006980 2207678 2879580 3010470 3311517 4415356 5519195 6020940 6623034 11038390 13246068 16557585 22076780 33115170 66230340