384799968
384,799,968 is an even composite number composed of five prime numbers multiplied together.
What does the number 384799968 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 144 divisors.
384799968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 384799968:
25 × 32 × 7 × 163 × 1171
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 163 × 1171)See below for interesting mathematical facts about the number 384799968 from the Numbermatics database.
Names of 384799968
- Cardinal: 384799968 can be written as Three hundred eighty-four million, seven hundred ninety-nine thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 3.84799968 × 108
Factors of 384799968
Divisors of 384799968
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 163 168 224 252 288 326 336 489 504 652 672 978 1008 1141 1171 1304 1467 1956 2016 2282 2342 2608 2934 3423 3513 3912 4564 4684 5216 5868 6846 7026 7824 8197 9128 9368 10269 10539 11736 13692 14052 15648 16394 18256 18736 20538 21078 23472 24591 27384 28104 32788 36512 37472 41076 42156 46944 49182 54768 56208 65576 73773 82152 84312 98364 109536 112416 131152 147546 164304 168624 190873 196728 262304 295092 328608 337248 381746 393456 572619 590184 763492 786912 1145238 1180368 1336111 1526984 1717857 2290476 2360736 2672222 3053968 3435714 4008333 4580952 5344444 6107936 6871428 8016666 9161904 10688888 12024999 13742856 16033332 18323808 21377776 24049998 27485712 32066664 42755552 48099996 54971424 64133328 96199992 128266656 192399984 384799968
- Sum of all divisors σ(n): 1259346816
- Sum of proper divisors (its aliquot sum) s(n): 874546848
- 384799968 is an abundant number, because the sum of its proper divisors (874546848) is greater than itself. Its abundance is 489746880
Bases of 384799968
- Binary: 101101110111110010100111000002
- Hexadecimal: 0x16EF94E0
- Base-36: 6D3LK0
Squares and roots of 384799968
- 384799968 squared (3847999682) is 148071015372801024
- 384799968 cubed (3847999683) is 56977721977181342105567232
-
The
square root of 384799968 is 19616.3189207353 -
The
cube root of 384799968 is 727.3526225711
Scales and comparisons
How big is 384799968?- 384,799,968 seconds is equal to 12 years, 12 weeks, 1 day, 16 hours, 52 minutes, 48 seconds.
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To count from 1 to 384,799,968 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 384799968 cubic inches would be around 60.6 feet tall.
Recreational maths with 384799968
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