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313343660 = 225717312137
BaseRepresentation
bin10010101011010…
…011111010101100
3210211121111200202
4102223103322230
51120203444120
651032013032
710523243240
oct2253237254
9724544622
10313343660
11150968803
1288b31178
134cbc0566
142d888420
151c797875
hex12ad3eac

313343660 has 144 divisors (see below), whose sum is σ = 828781632. Its totient is φ = 97136640.

The previous prime is 313343647. The next prime is 313343663. The reversal of 313343660 is 66343313.

313343660 = T280 + T281 + ... + T1238.

It is not an unprimeable number, because it can be changed into a prime (313343663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2287112 + ... + 2287248.

It is an arithmetic number, because the mean of its divisors is an integer number (5755428).

Almost surely, 2313343660 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 313343660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414390816).

313343660 is an abundant number, since it is smaller than the sum of its proper divisors (515437972).

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

313343660 is a wasteful number, since it uses less digits than its factorization.

313343660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

The square root of 313343660 is about 17701.5157543076. The cubic root of 313343660 is about 679.2145342369.

Adding to 313343660 its reverse (66343313), we get a palindrome (379686973).

The spelling of 313343660 in words is "three hundred thirteen million, three hundred forty-three thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 31 34 35 62 68 70 85 119 124 137 140 155 170 217 238 274 310 340 434 476 527 548 595 620 685 868 959 961 1054 1085 1190 1370 1918 1922 2108 2170 2329 2380 2635 2740 3689 3836 3844 4247 4340 4658 4795 4805 5270 6727 7378 8494 9316 9590 9610 10540 11645 13454 14756 16303 16337 16988 18445 19180 19220 21235 23290 26908 29729 32606 32674 33635 36890 42470 46580 59458 65212 65348 67270 72199 73780 81515 81685 84940 114359 118916 131657 134540 144398 148645 163030 163370 228718 263314 288796 297290 326060 326740 360995 457436 505393 526628 571795 594580 658285 721990 921599 1010786 1143590 1316570 1443980 1843198 2021572 2238169 2287180 2526965 2633140 3686396 4476338 4607995 5053930 8952676 9215990 10107860 11190845 15667183 18431980 22381690 31334366 44763380 62668732 78335915 156671830 313343660