Search a number
-
+
243648930 = 235717139491
BaseRepresentation
bin11101000010111…
…00100110100010
3121222110122111110
432201130212202
5444333231210
640102124150
76015660510
oct1641344642
9558418443
10243648930
11115596058
1269720656
133b62a985
14245054b0
15165cc420
hexe85c9a2

243648930 has 128 divisors (see below), whose sum is σ = 714147840. Its totient is φ = 51932160.

The previous prime is 243648929. The next prime is 243648931. The reversal of 243648930 is 39846342.

It is an interprime number because it is at equal distance from previous prime (243648929) and next prime (243648931).

It is not an unprimeable number, because it can be changed into a prime (243648931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 495985 + ... + 496475.

It is an arithmetic number, because the mean of its divisors is an integer number (5579280).

Almost surely, 2243648930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243648930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357073920).

243648930 is an abundant number, since it is smaller than the sum of its proper divisors (470498910).

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

243648930 is a wasteful number, since it uses less digits than its factorization.

243648930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664.

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 243648930 is about 15609.2578298906. The cubic root of 243648930 is about 624.5801382756.

The spelling of 243648930 in words is "two hundred forty-three million, six hundred forty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 139 170 210 238 255 278 357 417 491 510 595 695 714 834 973 982 1190 1390 1473 1785 1946 2085 2363 2455 2919 2946 3437 3570 4170 4726 4865 4910 5838 6874 7089 7365 8347 9730 10311 11815 14178 14595 14730 16541 16694 17185 20622 23630 25041 29190 33082 34370 35445 41735 49623 50082 51555 58429 68249 70890 82705 83470 99246 103110 116858 125205 136498 165410 175287 204747 248115 250410 292145 341245 350574 409494 477743 496230 584290 682490 876435 955486 1023735 1160233 1433229 1752870 2047470 2320466 2388715 2866458 3480699 4777430 5801165 6961398 7166145 8121631 11602330 14332290 16243262 17403495 24364893 34806990 40608155 48729786 81216310 121824465 243648930