Search a number
-
+
312316660 = 225292711987
BaseRepresentation
bin10010100111011…
…001001011110100
3210202200022220201
4102213121023310
51114423113120
650554010244
710511435125
oct2247311364
9722608821
10312316660
11150327147
1288716984
134c920c76
142d69c04c
151c64340a
hex129d92f4

312316660 has 48 divisors (see below), whose sum is σ = 681327360. Its totient is φ = 120113280.

The previous prime is 312316657. The next prime is 312316679. The reversal of 312316660 is 66613213.

It is a super-2 number, since 2×3123166602 = 195083392227111200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156187 + ... + 158173.

It is an arithmetic number, because the mean of its divisors is an integer number (14194320).

Almost surely, 2312316660 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 312316660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340663680).

312316660 is an abundant number, since it is smaller than the sum of its proper divisors (369010700).

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

312316660 is a wasteful number, since it uses less digits than its factorization.

312316660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 312316660 is about 17672.4831305620. The cubic root of 312316660 is about 678.4716685003.

Adding to 312316660 its reverse (66613213), we get a palindrome (378929873).

The spelling of 312316660 in words is "three hundred twelve million, three hundred sixteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 271 290 542 580 1084 1355 1987 2710 3974 5420 7859 7948 9935 15718 19870 31436 39295 39740 57623 78590 115246 157180 230492 288115 538477 576230 1076954 1152460 2153908 2692385 5384770 10769540 15615833 31231666 62463332 78079165 156158330 312316660