328137480
328,137,480 is an even composite number composed of five prime numbers multiplied together.
328137480 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 328137480:
23 × 37 × 5 × 112 × 31
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 11 × 31)See below for interesting mathematical facts about the number 328137480 from the Numbermatics database.
Names of 328137480
- Cardinal: 328137480 can be written as Three hundred twenty-eight million, one hundred thirty-seven thousand, four hundred eighty.
Scientific notation
- Scientific notation: 3.2813748 × 108
Factors of 328137480
Divisors of 328137480
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 31 33 36 40 44 45 54 55 60 62 66 72 81 88 90 93 99 108 110 120 121 124 132 135 155 162 165 180 186 198 216 220 242 243 248 264 270 279 297 310 324 330 341 360 363 372 396 405 440 465 484 486 495 540 558 594 605 620 648 660 682 726 729 744 792 810 837 891 930 968 972 990 1023 1080 1089 1116 1188 1210 1215 1240 1320 1364 1395 1452 1458 1485 1620 1674 1705 1782 1815 1860 1944 1980 2046 2178 2187 2232 2376 2420 2430 2511 2673 2728 2790 2904 2916 2970 3069 3240 3267 3348 3410 3564 3630 3645 3720 3751 3960 4092 4185 4356 4374 4455 4840 4860 5022 5115 5346 5445 5580 5832 5940 6138 6534 6696 6820 7128 7260 7290 7502 7533 8019 8184 8370 8712 8748 8910 9207 9720 9801 10044 10230 10692 10890 10935 11160 11253 11880 12276 12555 13068 13365 13640 14520 14580 15004 15066 15345 16038 16335 16740 17496 17820 18414 18755 19602 20088 20460 21384 21780 21870 22506 22599 24057 24552 25110 26136 26730 27621 29160 29403 30008 30132 30690 32076 32670 33480 33759 35640 36828 37510 37665 39204 40095 40920 43560 43740 45012 45198 46035 48114 49005 50220 53460 55242 56265 58806 60264 61380 64152 65340 67518 67797 73656 75020 75330 78408 80190 82863 87480 88209 90024 90396 92070 96228 98010 100440 101277 106920 110484 112530 112995 117612 120285 122760 130680 135036 135594 138105 147015 150040 150660 160380 165726 168795 176418 180792 184140 192456 196020 202554 220968 225060 225990 235224 240570 248589 264627 270072 271188 276210 294030 301320 303831 320760 331452 337590 338985 352836 368280 392040 405108 414315 441045 450120 451980 481140 497178 506385 529254 542376 552420 588060 607662 662904 675180 677970 705672 745767 810216 828630 882090 903960 911493 962280 994356 1012770 1058508 1104840 1176120 1215324 1242945 1323135 1350360 1355940 1491534 1519155 1657260 1764180 1822986 1988712 2025540 2117016 2430648 2485890 2646270 2711880 2734479 2983068 3038310 3314520 3528360 3645972 3728835 4051080 4557465 4971780 5292540 5468958 5966136 6076620 7291944 7457670 8203437 9114930 9943560 10585080 10937916 12153240 13672395 14915340 16406874 18229860 21875832 27344790 29830680 32813748 36459720 41017185 54689580 65627496 82034370 109379160 164068740 328137480
- Sum of all divisors σ(n): 1256371200
- Sum of proper divisors (its aliquot sum) s(n): 928233720
- 328137480 is an abundant number, because the sum of its proper divisors (928233720) is greater than itself. Its abundance is 600096240
Bases of 328137480
- Binary: 100111000111011111011000010002
- Hexadecimal: 0x138EFB08
- Base-36: 5FD4I0
Squares and roots of 328137480
- 328137480 squared (3281374802) is 107674205780750400
- 328137480 cubed (3281374803) is 35331942545896868764992000
-
The
square root of 328137480 is 18114.5654101885 -
The
cube root of 328137480 is 689.7397884603
Scales and comparisons
How big is 328137480?- 328,137,480 seconds is equal to 10 years, 22 weeks, 3 days, 21 hours, 18 minutes.
-
To count from 1 to 328,137,480 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 328137480 cubic inches would be around 57.5 feet tall.
Recreational maths with 328137480
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