Search a number
-
+
318245664 = 253112313103
BaseRepresentation
bin10010111110000…
…000101100100000
3211011211112222110
4102332000230200
51122432330124
651325035320
710613020632
oct2276005440
9734745873
10318245664
11153706750
128a6b5b40
1350c18859
14303a2a52
151ce15029
hex12f80b20

318245664 has 96 divisors (see below), whose sum is σ = 951035904. Its totient is φ = 92238080.

The previous prime is 318245581. The next prime is 318245677. The reversal of 318245664 is 466542813.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17737 + ... + 30839.

It is an arithmetic number, because the mean of its divisors is an integer number (9906624).

Almost surely, 2318245664 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 318245664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475517952).

318245664 is an abundant number, since it is smaller than the sum of its proper divisors (632790240).

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

318245664 is a wasteful number, since it uses less digits than its factorization.

318245664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13150 (or 13142 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 318245664 is about 17839.4412468552. The cubic root of 318245664 is about 682.7381406760.

The spelling of 318245664 in words is "three hundred eighteen million, two hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 506 528 552 736 759 1012 1056 1104 1518 2024 2208 3036 4048 6072 8096 12144 13103 24288 26206 39309 52412 78618 104824 144133 157236 209648 288266 301369 314472 419296 432399 576532 602738 628944 864798 904107 1153064 1205476 1257888 1729596 1808214 2306128 2410952 3315059 3459192 3616428 4612256 4821904 6630118 6918384 7232856 9643808 9945177 13260236 13836768 14465712 19890354 26520472 28931424 39780708 53040944 79561416 106081888 159122832 318245664