345030400
345,030,400 is an even composite number composed of five prime numbers multiplied together.
345030400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 345030400:
28 × 52 × 11 × 132 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 13 × 13 × 29)See below for interesting mathematical facts about the number 345030400 from the Numbermatics database.
Names of 345030400
- Cardinal: 345030400 can be written as Three hundred forty-five million, thirty thousand, four hundred.
Scientific notation
- Scientific notation: 3.450304 × 108
Factors of 345030400
Divisors of 345030400
- Number of divisors d(n): 324
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 29 32 40 44 50 52 55 58 64 65 80 88 100 104 110 116 128 130 143 145 160 169 176 200 208 220 232 256 260 275 286 290 319 320 325 338 352 377 400 416 440 464 520 550 572 580 638 640 650 676 704 715 725 754 800 832 845 880 928 1040 1100 1144 1160 1276 1280 1300 1352 1408 1430 1450 1508 1595 1600 1664 1690 1760 1856 1859 1885 2080 2200 2288 2320 2552 2600 2704 2816 2860 2900 3016 3190 3200 3328 3380 3520 3575 3712 3718 3770 4147 4160 4225 4400 4576 4640 4901 5104 5200 5408 5720 5800 6032 6380 6400 6760 7040 7150 7424 7436 7540 7975 8294 8320 8450 8800 9152 9280 9295 9425 9802 10208 10400 10816 11440 11600 12064 12760 13520 14080 14300 14872 15080 15950 16588 16640 16900 17600 18304 18560 18590 18850 19604 20416 20735 20800 21632 22880 23200 24128 24505 25520 27040 28600 29744 30160 31900 33176 33800 35200 36608 37120 37180 37700 39208 40832 41470 41600 43264 45760 46400 46475 48256 49010 51040 53911 54080 57200 59488 60320 63800 66352 67600 70400 74360 75400 78416 81664 82940 83200 91520 92800 92950 96512 98020 102080 103675 107822 108160 114400 118976 120640 122525 127600 132704 135200 148720 150800 156832 165880 183040 185600 185900 196040 204160 207350 215644 216320 228800 237952 241280 245050 255200 265408 269555 270400 297440 301600 313664 331760 371800 392080 408320 414700 431288 457600 475904 482560 490100 510400 530816 539110 540800 594880 603200 627328 663520 743600 784160 829400 862576 915200 980200 1020800 1061632 1078220 1081600 1189760 1206400 1254656 1327040 1347775 1487200 1568320 1658800 1725152 1960400 2041600 2156440 2379520 2412800 2654080 2695550 2974400 3136640 3317600 3450304 3920800 4312880 5308160 5391100 5948800 6273280 6635200 6900608 7841600 8625760 10782200 11897600 13270400 13801216 15683200 17251520 21564400 26540800 31366400 34503040 43128800 69006080 86257600 172515200 345030400
- Sum of all divisors σ(n): 1043605080
- Sum of proper divisors (its aliquot sum) s(n): 698574680
- 345030400 is an abundant number, because the sum of its proper divisors (698574680) is greater than itself. Its abundance is 353544280
Bases of 345030400
- Binary: 101001001000010111111000000002
- Hexadecimal: 0x1490BF00
- Base-36: 5PF75S
Squares and roots of 345030400
- 345030400 squared (3450304002) is 119045976924160000
- 345030400 cubed (3450304003) is 41074481036533694464000000
-
The
square root of 345030400 is 18574.9939434713 -
The
cube root of 345030400 is 701.3785080159
Scales and comparisons
How big is 345030400?- 345,030,400 seconds is equal to 10 years, 50 weeks, 3 days, 9 hours, 46 minutes, 40 seconds.
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To count from 1 to 345,030,400 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 345030400 cubic inches would be around 58.4 feet tall.
Recreational maths with 345030400
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