680326400
680,326,400 is an even composite number composed of five prime numbers multiplied together.
680326400 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 680326400:
28 × 52 × 132 × 17 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 17 × 37)See below for interesting mathematical facts about the number 680326400 from the Numbermatics database.
Names of 680326400
- Cardinal: 680326400 can be written as Six hundred eighty million, three hundred twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 6.803264 × 108
Factors of 680326400
Divisors of 680326400
- Number of divisors d(n): 324
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 37 40 50 52 64 65 68 74 80 85 100 104 128 130 136 148 160 169 170 185 200 208 221 256 260 272 296 320 325 338 340 370 400 416 425 442 481 520 544 592 629 640 650 676 680 740 800 832 845 850 884 925 962 1040 1088 1105 1184 1258 1280 1300 1352 1360 1480 1600 1664 1690 1700 1768 1850 1924 2080 2176 2210 2368 2405 2516 2600 2704 2720 2873 2960 3145 3200 3328 3380 3400 3536 3700 3848 4160 4225 4352 4420 4736 4810 5032 5200 5408 5440 5525 5746 5920 6253 6290 6400 6760 6800 7072 7400 7696 8177 8320 8450 8840 9472 9620 10064 10400 10816 10880 11050 11492 11840 12025 12506 12580 13520 13600 14144 14365 14800 15392 15725 16354 16640 16900 17680 19240 20128 20800 21632 21760 22100 22984 23680 24050 25012 25160 27040 27200 28288 28730 29600 30784 31265 31450 32708 33800 35360 38480 40256 40885 41600 43264 44200 45968 47360 48100 50024 50320 54080 54400 56576 57460 59200 61568 62530 62900 65416 67600 70720 71825 76960 80512 81770 83200 88400 91936 96200 100048 100640 106301 108160 108800 114920 118400 123136 125060 125800 130832 135200 141440 143650 153920 156325 161024 163540 176800 183872 192400 200096 201280 204425 212602 216320 229840 236800 250120 251600 261664 270400 282880 287300 307840 312650 327080 353600 367744 384800 400192 402560 408850 425204 459680 500240 503200 523328 531505 540800 574600 615680 625300 654160 707200 735488 769600 800384 805120 817700 850408 919360 1000480 1006400 1046656 1063010 1081600 1149200 1250600 1308320 1414400 1539200 1600768 1635400 1700816 1838720 2000960 2012800 2093312 2126020 2298400 2501200 2616640 2657525 3078400 3270800 3401632 3677440 4001920 4025600 4252040 4596800 5002400 5233280 5315050 6541600 6803264 8003840 8504080 9193600 10004800 10466560 10630100 13083200 13606528 17008160 18387200 20009600 21260200 26166400 27213056 34016320 40019200 42520400 52332800 68032640 85040800 136065280 170081600 340163200 680326400
- Sum of all divisors σ(n): 1982849652
- Sum of proper divisors (its aliquot sum) s(n): 1302523252
- 680326400 is an abundant number, because the sum of its proper divisors (1302523252) is greater than itself. Its abundance is 622196852
Bases of 680326400
- Binary: 1010001000110011110101000000002
- Hexadecimal: 0x288CF500
- Base-36: B91R7K
Squares and roots of 680326400
- 680326400 squared (6803264002) is 462844010536960000
- 680326400 cubed (6803264003) is 314884999450172063744000000
-
The
square root of 680326400 is 26083.0673042877 -
The
cube root of 680326400 is 879.5066104753
Scales and comparisons
How big is 680326400?- 680,326,400 seconds is equal to 21 years, 32 weeks, 6 days, 3 hours, 33 minutes, 20 seconds.
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To count from 1 to 680,326,400 would take you about thirty-two 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 680326400 cubic inches would be around 73.3 feet tall.
Recreational maths with 680326400
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