398228688
398,228,688 is an even composite number composed of six prime numbers multiplied together.
What does the number 398228688 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 240 divisors.
398228688 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 398228688:
24 × 32 × 11 × 13 × 83 × 233
(2 × 2 × 2 × 2 × 3 × 3 × 11 × 13 × 83 × 233)See below for interesting mathematical facts about the number 398228688 from the Numbermatics database.
Names of 398228688
- Cardinal: 398228688 can be written as Three hundred ninety-eight million, two hundred twenty-eight thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 3.98228688 × 108
Factors of 398228688
Divisors of 398228688
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 83 88 99 104 117 132 143 144 156 166 176 198 208 233 234 249 264 286 312 332 396 429 466 468 498 528 572 624 664 699 747 792 858 913 932 936 996 1079 1144 1287 1328 1398 1494 1584 1716 1826 1864 1872 1992 2097 2158 2288 2563 2574 2739 2796 2988 3029 3237 3432 3652 3728 3984 4194 4316 5126 5148 5478 5592 5976 6058 6474 6864 7304 7689 8217 8388 8632 9087 9711 10252 10296 10956 11184 11869 11952 12116 12948 14608 15378 16434 16776 17264 18174 19339 19422 20504 20592 21912 23067 23738 24232 25896 27261 30756 32868 33319 33552 35607 36348 38678 38844 41008 43824 46134 47476 48464 51792 54522 58017 61512 65736 66638 71214 72696 77356 77688 92268 94952 99957 106821 109044 116034 123024 131472 133276 142428 145392 154712 155376 174051 184536 189904 199914 212729 213642 218088 232068 251407 266552 284856 299871 309424 348102 369072 399828 425458 427284 436176 464136 502814 533104 569712 599742 638187 696204 754221 799656 850916 854568 928272 1005628 1199484 1276374 1392408 1508442 1599312 1701832 1709136 1914561 2011256 2262663 2398968 2552748 2765477 2784816 3016884 3403664 3829122 4022512 4525326 4797936 5105496 5530954 6033768 7658244 8296431 9050652 10210992 11061908 12067536 15316488 16592862 18101304 22123816 24889293 30632976 33185724 36202608 44247632 49778586 66371448 99557172 132742896 199114344 398228688
- Sum of all divisors σ(n): 1330789824
- Sum of proper divisors (its aliquot sum) s(n): 932561136
- 398228688 is an abundant number, because the sum of its proper divisors (932561136) is greater than itself. Its abundance is 534332448
Bases of 398228688
- Binary: 101111011110001111100110100002
- Hexadecimal: 0x17BC7CD0
- Base-36: 6L3F80
Squares and roots of 398228688
- 398228688 squared (3982286882) is 158586087946201344
- 398228688 cubed (3982286883) is 63153529737868375804956672
-
The
square root of 398228688 is 19955.6680669929 -
The
cube root of 398228688 is 735.7170955083
Scales and comparisons
How big is 398228688?- 398,228,688 seconds is equal to 12 years, 34 weeks, 3 days, 3 hours, 4 minutes, 48 seconds.
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To count from 1 to 398,228,688 would take you about eighteen 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 398228688 cubic inches would be around 61.3 feet tall.
Recreational maths with 398228688
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