968345000
968,345,000 is an even composite number composed of five prime numbers multiplied together.
968345000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 968345000:
23 × 54 × 7 × 73 × 379
(2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 73 × 379)See below for interesting mathematical facts about the number 968345000 from the Numbermatics database.
Names of 968345000
- Cardinal: 968345000 can be written as Nine hundred sixty-eight million, three hundred forty-five thousand.
Scientific notation
- Scientific notation: 9.68345 × 108
Factors of 968345000
Divisors of 968345000
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 73 100 125 140 146 175 200 250 280 292 350 365 379 500 511 584 625 700 730 758 875 1000 1022 1250 1400 1460 1516 1750 1825 1895 2044 2500 2555 2653 2920 3032 3500 3650 3790 4088 4375 5000 5110 5306 7000 7300 7580 8750 9125 9475 10220 10612 12775 13265 14600 15160 17500 18250 18950 20440 21224 25550 26530 27667 35000 36500 37900 45625 47375 51100 53060 55334 63875 66325 73000 75800 91250 94750 102200 106120 110668 127750 132650 138335 182500 189500 193669 221336 236875 255500 265300 276670 319375 331625 365000 379000 387338 473750 511000 530600 553340 638750 663250 691675 774676 947500 968345 1106680 1277500 1326500 1383350 1549352 1658125 1895000 1936690 2555000 2653000 2766700 3316250 3458375 3873380 4841725 5533400 6632500 6916750 7746760 9683450 13265000 13833500 17291875 19366900 24208625 27667000 34583750 38733800 48417250 69167500 96834500 121043125 138335000 193669000 242086250 484172500 968345000
- Sum of all divisors σ(n): 2635406400
- Sum of proper divisors (its aliquot sum) s(n): 1667061400
- 968345000 is an abundant number, because the sum of its proper divisors (1667061400) is greater than itself. Its abundance is 698716400
Bases of 968345000
- Binary: 1110011011011111000101101010002
- Hexadecimal: 0x39B7C5A8
- Base-36: G0IZS8
Squares and roots of 968345000
- 968345000 squared (9683450002) is 937692039025000000
- 968345000 cubed (9683450003) is 908009397529663625000000000
-
The
square root of 968345000 is 31118.2422382755 -
The
cube root of 968345000 is 989.3349953635
Scales and comparisons
How big is 968345000?- 968,345,000 seconds is equal to 30 years, 41 weeks, 16 hours, 43 minutes, 20 seconds.
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To count from 1 to 968,345,000 would take you about forty-six 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 968345000 cubic inches would be around 82.4 feet tall.
Recreational maths with 968345000
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