Search a number
-
+
663660312 = 233721035479
BaseRepresentation
bin100111100011101…
…010011100011000
31201020210102210120
4213203222130120
52324344112222
6145504313240
722306006500
oct4743523430
91636712716
10663660312
113106898a7
12166312820
13a7657913
14641d8a00
153d3e515c
hex278ea718

663660312 has 96 divisors (see below), whose sum is σ = 1949126400. Its totient is φ = 187742016.

The previous prime is 663660311. The next prime is 663660313. The reversal of 663660312 is 213066366.

It is a happy number.

663660312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (663660311) and next prime (663660313).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663660311) 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, 118389 + ... + 123867.

It is an arithmetic number, because the mean of its divisors is an integer number (20303400).

Almost surely, 2663660312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663660312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974563200).

663660312 is an abundant number, since it is smaller than the sum of its proper divisors (1285466088).

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

663660312 is a wasteful number, since it uses less digits than its factorization.

663660312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5605 (or 5594 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 663660312 is about 25761.6053847581. The cubic root of 663660312 is about 872.2653395309.

The spelling of 663660312 in words is "six hundred sixty-three million, six hundred sixty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 103 147 168 196 206 294 309 392 412 588 618 721 824 1176 1236 1442 2163 2472 2884 4326 5047 5479 5768 8652 10094 10958 15141 16437 17304 20188 21916 30282 32874 38353 40376 43832 60564 65748 76706 115059 121128 131496 153412 230118 268471 306824 460236 536942 564337 805413 920472 1073884 1128674 1610826 1693011 2147768 2257348 3221652 3386022 3950359 4514696 6443304 6772044 7900718 11851077 13544088 15801436 23702154 27652513 31602872 47404308 55305026 82957539 94808616 110610052 165915078 221220104 331830156 663660312