Search a number
-
+
316317690 = 233513227397
BaseRepresentation
bin10010110110101…
…001111111111010
3211001012121022000
4102312221333322
51121434131230
651215441430
710560441003
oct2266517772
9731177260
10316317690
1115260a187
1289b26276
13506c2140
14300201aa
151cb83b60
hex12da9ffa

316317690 has 128 divisors (see below), whose sum is σ = 914699520. Its totient is φ = 77324544.

The previous prime is 316317647. The next prime is 316317697. The reversal of 316317690 is 96713613.

It is a super-2 number, since 2×3163176902 = 200113762013872200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (316317697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 796572 + ... + 796968.

It is an arithmetic number, because the mean of its divisors is an integer number (7146090).

Almost surely, 2316317690 is an apocalyptic number.

316317690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 316317690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457349760).

316317690 is an abundant number, since it is smaller than the sum of its proper divisors (598381830).

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

316317690 is a wasteful number, since it uses less digits than its factorization.

316317690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 316317690 is about 17785.3223192609. The cubic root of 316317690 is about 681.3566413872.

The spelling of 316317690 in words is "three hundred sixteen million, three hundred seventeen thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 227 234 270 351 390 397 454 585 681 702 794 1135 1170 1191 1362 1755 1985 2043 2270 2382 2951 3405 3510 3573 3970 4086 5161 5902 5955 6129 6810 7146 8853 10215 10322 10719 11910 12258 14755 15483 17706 17865 20430 21438 25805 26559 29510 30645 30966 35730 44265 46449 51610 53118 53595 61290 77415 79677 88530 90119 92898 107190 132795 139347 154830 159354 180238 232245 265590 270357 278694 398385 450595 464490 540714 696735 796770 811071 901190 1171547 1351785 1393470 1622142 2343094 2433213 2703570 3514641 4055355 4866426 5857735 7029282 8110710 10543923 11715470 12166065 17573205 21087846 24332130 31631769 35146410 52719615 63263538 105439230 158158845 316317690