328023640
328,023,640 is an even composite number composed of five prime numbers multiplied together.
328023640 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 328023640:
23 × 5 × 72 × 292 × 199
(2 × 2 × 2 × 5 × 7 × 7 × 29 × 29 × 199)See below for interesting mathematical facts about the number 328023640 from the Numbermatics database.
Names of 328023640
- Cardinal: 328023640 can be written as Three hundred twenty-eight million, twenty-three thousand, six hundred forty.
Scientific notation
- Scientific notation: 3.2802364 × 108
Factors of 328023640
Divisors of 328023640
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 7 8 10 14 20 28 29 35 40 49 56 58 70 98 116 140 145 196 199 203 232 245 280 290 392 398 406 490 580 796 812 841 980 995 1015 1160 1393 1421 1592 1624 1682 1960 1990 2030 2786 2842 3364 3980 4060 4205 5572 5684 5771 5887 6728 6965 7105 7960 8120 8410 9751 11144 11368 11542 11774 13930 14210 16820 19502 23084 23548 27860 28420 28855 29435 33640 39004 40397 41209 46168 47096 48755 55720 56840 57710 58870 78008 80794 82418 97510 115420 117740 161588 164836 167359 195020 201985 206045 230840 235480 282779 323176 329672 334718 390040 403970 412090 565558 669436 807940 824180 836795 1131116 1171513 1338872 1413895 1615880 1648360 1673590 2262232 2343026 2827790 3347180 4686052 5655580 5857565 6694360 8200591 9372104 11311160 11715130 16401182 23430260 32802364 41002955 46860520 65604728 82005910 164011820 328023640
- Sum of all divisors σ(n): 893646000
- Sum of proper divisors (its aliquot sum) s(n): 565622360
- 328023640 is an abundant number, because the sum of its proper divisors (565622360) is greater than itself. Its abundance is 237598720
Bases of 328023640
- Binary: 100111000110100111110010110002
- Hexadecimal: 0x138D3E58
- Base-36: 5FAONS
Squares and roots of 328023640
- 328023640 squared (3280236402) is 107599508398849600
- 328023640 cubed (3280236403) is 35295182407201217604544000
-
The
square root of 328023640 is 18111.4229148347 -
The
cube root of 328023640 is 689.6600159419
Scales and comparisons
How big is 328023640?- 328,023,640 seconds is equal to 10 years, 22 weeks, 2 days, 13 hours, 40 minutes, 40 seconds.
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To count from 1 to 328,023,640 would take you about fifteen 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 328023640 cubic inches would be around 57.5 feet tall.
Recreational maths with 328023640
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