232972740
232,972,740 is an even composite number composed of seven prime numbers multiplied together.
232972740 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 232972740:
22 × 33 × 5 × 7 × 11 × 13 × 431
(2 × 2 × 3 × 3 × 3 × 5 × 7 × 11 × 13 × 431)See below for interesting mathematical facts about the number 232972740 from the Numbermatics database.
Names of 232972740
- Cardinal: 232972740 can be written as Two hundred thirty-two million, nine hundred seventy-two thousand, seven hundred forty.
Scientific notation
- Scientific notation: 2.3297274 × 108
Factors of 232972740
Divisors of 232972740
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 11 12 13 14 15 18 20 21 22 26 27 28 30 33 35 36 39 42 44 45 52 54 55 60 63 65 66 70 77 78 84 90 91 99 105 108 110 117 126 130 132 135 140 143 154 156 165 180 182 189 195 198 210 220 231 234 252 260 270 273 286 297 308 315 330 351 364 378 385 390 396 420 429 431 455 462 468 495 540 546 572 585 594 630 660 693 702 715 756 770 780 819 858 862 910 924 945 990 1001 1092 1155 1170 1188 1260 1287 1293 1365 1386 1404 1430 1485 1540 1638 1716 1724 1755 1820 1890 1980 2002 2079 2145 2155 2310 2340 2457 2574 2586 2730 2772 2860 2970 3003 3017 3276 3465 3510 3780 3861 3879 4004 4095 4158 4290 4310 4620 4741 4914 5005 5148 5172 5460 5603 5940 6006 6034 6435 6465 6930 7020 7722 7758 8190 8316 8580 8620 9009 9051 9482 9828 10010 10395 11206 11637 12012 12068 12285 12870 12930 13860 14223 15015 15085 15444 15516 16380 16809 18018 18102 18964 19305 19395 20020 20790 22412 23274 23705 24570 25740 25860 27027 27153 28015 28446 30030 30170 33187 33618 36036 36204 38610 38790 39221 41580 42669 45045 45255 46548 47410 49140 50427 54054 54306 56030 56892 58185 60060 60340 61633 66374 67236 71115 77220 77580 78442 81459 84045 85338 90090 90510 94820 99561 100854 108108 108612 112060 116370 117663 123266 128007 132748 135135 135765 142230 151281 156884 162918 165935 168090 170676 180180 181020 184899 196105 199122 201708 213345 232740 235326 246532 252135 256014 270270 271530 284460 298683 302562 308165 325836 331870 336180 352989 369798 392210 398244 407295 426690 431431 470652 497805 504270 512028 540540 543060 554697 588315 597366 605124 616330 640035 663740 705978 739596 756405 784420 814590 853380 862862 896049 924495 995610 1008540 1058967 1109394 1176630 1194732 1232660 1280070 1294293 1411956 1493415 1512810 1629180 1664091 1725724 1764945 1792098 1848990 1991220 2117934 2157155 2218788 2353260 2560140 2588586 2773485 2986830 3025620 3328182 3529890 3584196 3697980 3882879 4235868 4314310 4480245 5177172 5294835 5546970 5973660 6471465 6656364 7059780 7765758 8320455 8628620 8960490 10589670 11093940 11648637 12942930 15531516 16640910 17920980 19414395 21179340 23297274 25885860 33281820 38828790 46594548 58243185 77657580 116486370 232972740
- Sum of all divisors σ(n): 975421440
- Sum of proper divisors (its aliquot sum) s(n): 742448700
- 232972740 is an abundant number, because the sum of its proper divisors (742448700) is greater than itself. Its abundance is 509475960
Bases of 232972740
- Binary: 11011110001011100001110001002
- Hexadecimal: 0xDE2E1C4
- Base-36: 3UPEX0
Squares and roots of 232972740
- 232972740 squared (2329727402) is 54276297583107600
- 232972740 cubed (2329727403) is 12644897764991955286824000
-
The
square root of 232972740 is 15263.4445653659 -
The
cube root of 232972740 is 615.3209508577
Scales and comparisons
How big is 232972740?- 232,972,740 seconds is equal to 7 years, 21 weeks, 1 day, 10 hours, 39 minutes.
-
To count from 1 to 232,972,740 would take you about eleven years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 232972740 cubic inches would be around 51.3 feet tall.
Recreational maths with 232972740
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