830348064
830,348,064 is an even composite number composed of six prime numbers multiplied together.
What does the number 830348064 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 384 divisors.
830348064 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 830348064:
25 × 33 × 7 × 13 × 59 × 179
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 59 × 179)See below for interesting mathematical facts about the number 830348064 from the Numbermatics database.
Names of 830348064
- Cardinal: 830348064 can be written as Eight hundred thirty million, three hundred forty-eight thousand and sixty-four.
Scientific notation
- Scientific notation: 8.30348064 × 108
Factors of 830348064
Divisors of 830348064
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 59 63 72 78 84 91 96 104 108 112 117 118 126 144 156 168 177 179 182 189 208 216 224 234 236 252 273 288 312 336 351 354 358 364 378 413 416 432 468 472 504 531 537 546 624 672 702 708 716 728 756 767 819 826 864 936 944 1008 1062 1074 1092 1239 1248 1253 1404 1416 1432 1456 1512 1534 1593 1611 1638 1652 1872 1888 2016 2124 2148 2184 2301 2327 2457 2478 2506 2808 2832 2864 2912 3024 3068 3186 3222 3276 3304 3717 3744 3759 4248 4296 4368 4602 4654 4833 4914 4956 5012 5369 5616 5664 5728 6048 6136 6372 6444 6552 6608 6903 6981 7434 7518 8496 8592 8736 9204 9308 9666 9828 9912 10024 10561 10738 11151 11232 11277 12272 12744 12888 13104 13216 13806 13962 14868 15036 16107 16289 16992 17184 18408 18616 19332 19656 19824 20048 20709 20943 21122 21476 22302 22554 24544 25488 25776 26208 27612 27924 29736 30072 31683 32214 32578 33831 36816 37232 38664 39312 39648 40096 41418 41886 42244 42952 44604 45108 48321 48867 50976 51552 55224 55848 59472 60144 62829 63366 64428 65156 67662 73632 73927 74464 77328 78624 82836 83772 84488 85904 89208 90216 95049 96642 97734 110448 111696 118944 120288 125658 126732 128856 130312 135324 137293 144963 146601 147854 154656 165672 167544 168976 171808 178416 180432 190098 193284 195468 220896 221781 223392 251316 253464 257712 260624 270648 274586 285147 289926 293202 295708 331344 335088 337952 356832 360864 380196 386568 390936 411879 439803 443562 502632 506928 515424 521248 541296 549172 570294 579852 586404 591416 662688 665343 670176 760392 773136 781872 823758 879606 887124 961051 1005264 1013856 1082592 1098344 1140588 1159704 1172808 1182832 1235637 1330686 1520784 1546272 1563744 1647516 1759212 1774248 1922102 1996029 2010528 2196688 2281176 2319408 2345616 2365664 2471274 2661372 2883153 3041568 3295032 3518424 3548496 3706911 3844204 3992058 4393376 4562352 4638816 4691232 4942548 5322744 5766306 6590064 7036848 7096992 7413822 7688408 7984116 8649459 9124704 9885096 10645488 11532612 13180128 14073696 14827644 15376816 15968232 17298918 19770192 21290976 23065224 25948377 29655288 30753632 31936464 34597836 39540384 46130448 51896754 59310576 63872928 69195672 92260896 103793508 118621152 138391344 207587016 276782688 415174032 830348064
- Sum of all divisors σ(n): 3048192000
- Sum of proper divisors (its aliquot sum) s(n): 2217843936
- 830348064 is an abundant number, because the sum of its proper divisors (2217843936) is greater than itself. Its abundance is 1387495872
Bases of 830348064
- Binary: 1100010111111000011011001000002
- Hexadecimal: 0x317E1B20
- Base-36: DQD8O0
Squares and roots of 830348064
- 830348064 squared (8303480642) is 689477907388548096
- 830348064 cubed (8303480643) is 572506645570852207284486144
-
The
square root of 830348064 is 28815.7606875127 -
The
cube root of 830348064 is 939.9109859879
Scales and comparisons
How big is 830348064?- 830,348,064 seconds is equal to 26 years, 20 weeks, 6 days, 12 hours, 14 minutes, 24 seconds.
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To count from 1 to 830,348,064 would take you about thirty-nine 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 830348064 cubic inches would be around 78.3 feet tall.
Recreational maths with 830348064
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