345072420
345,072,420 is an even composite number composed of seven prime numbers multiplied together.
345072420 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 345072420:
22 × 33 × 5 × 7 × 11 × 43 × 193
(2 × 2 × 3 × 3 × 3 × 5 × 7 × 11 × 43 × 193)See below for interesting mathematical facts about the number 345072420 from the Numbermatics database.
Names of 345072420
- Cardinal: 345072420 can be written as Three hundred forty-five million, seventy-two thousand, four hundred twenty.
Scientific notation
- Scientific notation: 3.4507242 × 108
Factors of 345072420
Divisors of 345072420
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 27 28 30 33 35 36 42 43 44 45 54 55 60 63 66 70 77 84 86 90 99 105 108 110 126 129 132 135 140 154 165 172 180 189 193 198 210 215 220 231 252 258 270 297 301 308 315 330 378 385 386 387 396 420 430 462 473 495 516 540 579 594 602 630 645 660 693 756 770 772 774 860 903 924 945 946 965 990 1155 1158 1161 1188 1204 1260 1290 1351 1386 1419 1485 1505 1540 1548 1737 1806 1890 1892 1930 1935 1980 2079 2123 2310 2316 2322 2365 2580 2702 2709 2772 2838 2895 2970 3010 3311 3465 3474 3612 3780 3860 3870 4053 4158 4246 4257 4515 4620 4644 4730 5211 5404 5418 5676 5790 5805 5940 6020 6369 6622 6755 6930 6948 7095 7740 8106 8127 8299 8316 8492 8514 8685 9030 9460 9933 10395 10422 10615 10836 11580 11610 12159 12738 12771 13244 13510 13545 13860 14190 14861 16212 16254 16555 16598 17028 17370 18060 19107 19866 20265 20790 20844 21230 21285 23220 24318 24897 25476 25542 26055 27020 27090 28380 29722 29799 31845 32508 33110 33196 34740 36477 38214 39732 40530 40635 41495 41580 42460 42570 44583 48636 49665 49794 51084 52110 54180 57321 58093 59444 59598 60795 63690 63855 66220 72954 74305 74691 76428 81060 81270 82990 85140 89166 89397 91289 95535 99330 99588 104220 114642 116186 119196 121590 124485 127380 127710 133749 145908 148610 148995 149382 162540 165980 174279 178332 178794 182385 182578 191070 198660 222915 224073 229284 232372 243180 248970 255420 267498 273867 286605 290465 297220 297990 298764 348558 357588 364770 365156 373455 382140 401247 445830 446985 448146 456445 497940 522837 534996 547734 573210 580930 595980 639023 668745 697116 729540 746910 802494 821601 871395 891660 893970 896292 912890 1045674 1095468 1120365 1146420 1161860 1278046 1337490 1369335 1493820 1568511 1604988 1643202 1742790 1787940 1825780 1917069 2006235 2091348 2240730 2464803 2556092 2614185 2674980 2738670 3137022 3195115 3286404 3485580 3834138 4012470 4108005 4481460 4929606 5228370 5477340 5751207 6274044 6390230 7668276 7842555 8024940 8216010 9585345 9859212 10456740 11502414 12324015 12780460 15685110 16432020 17253621 19170690 23004828 24648030 28756035 31370220 34507242 38341380 49296060 57512070 69014484 86268105 115024140 172536210 345072420
- Sum of all divisors σ(n): 1376686080
- Sum of proper divisors (its aliquot sum) s(n): 1031613660
- 345072420 is an abundant number, because the sum of its proper divisors (1031613660) is greater than itself. Its abundance is 686541240
Bases of 345072420
- Binary: 101001001000101100011001001002
- Hexadecimal: 0x14916324
- Base-36: 5PG3L0
Squares and roots of 345072420
- 345072420 squared (3450724202) is 119074975044656400
- 345072420 cubed (3450724203) is 41089489800099192016488000
-
The
square root of 345072420 is 18576.1249995795 -
The
cube root of 345072420 is 701.4069796409
Scales and comparisons
How big is 345072420?- 345,072,420 seconds is equal to 10 years, 50 weeks, 3 days, 21 hours, 27 minutes.
-
To count from 1 to 345,072,420 would take you about sixteen 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 345072420 cubic inches would be around 58.5 feet tall.
Recreational maths with 345072420
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