3456230400
3,456,230,400 is an even composite number composed of five prime numbers multiplied together.
3456230400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred ninety-six divisors.
Prime factorization of 3456230400:
210 × 32 × 52 × 7 × 2143
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 2143)See below for interesting mathematical facts about the number 3456230400 from the Numbermatics database.
Names of 3456230400
- Cardinal: 3456230400 can be written as Three billion, four hundred fifty-six million, two hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 3.4562304 × 109
Factors of 3456230400
Divisors of 3456230400
- Number of divisors d(n): 396
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 64 70 72 75 80 84 90 96 100 105 112 120 126 128 140 144 150 160 168 175 180 192 200 210 224 225 240 252 256 280 288 300 315 320 336 350 360 384 400 420 448 450 480 504 512 525 560 576 600 630 640 672 700 720 768 800 840 896 900 960 1008 1024 1050 1120 1152 1200 1260 1280 1344 1400 1440 1536 1575 1600 1680 1792 1800 1920 2016 2100 2143 2240 2304 2400 2520 2560 2688 2800 2880 3072 3150 3200 3360 3584 3600 3840 4032 4200 4286 4480 4608 4800 5040 5120 5376 5600 5760 6300 6400 6429 6720 7168 7200 7680 8064 8400 8572 8960 9216 9600 10080 10715 10752 11200 11520 12600 12800 12858 13440 14400 15001 15360 16128 16800 17144 17920 19200 19287 20160 21430 21504 22400 23040 25200 25600 25716 26880 28800 30002 32145 32256 33600 34288 35840 38400 38574 40320 42860 44800 45003 46080 50400 51432 53575 53760 57600 60004 64290 64512 67200 68576 75005 76800 77148 80640 85720 89600 90006 96435 100800 102864 107150 107520 115200 120008 128580 134400 135009 137152 150010 154296 160725 161280 171440 179200 180012 192870 201600 205728 214300 225015 230400 240016 257160 268800 270018 274304 300020 308592 321450 322560 342880 360024 375025 385740 403200 411456 428600 450030 480032 482175 514320 537600 540036 548608 600040 617184 642900 675045 685760 720048 750050 771480 806400 822912 857200 900060 960064 964350 1028640 1080072 1097216 1125075 1200080 1234368 1285800 1350090 1371520 1440096 1500100 1542960 1612800 1645824 1714400 1800120 1920128 1928700 2057280 2160144 2194432 2250150 2400160 2468736 2571600 2700180 2743040 2880192 3000200 3085920 3291648 3375225 3428800 3600240 3840256 3857400 4114560 4320288 4500300 4800320 4937472 5143200 5400360 5486080 5760384 6000400 6171840 6583296 6750450 6857600 7200480 7680512 7714800 8229120 8640576 9000600 9600640 9874944 10286400 10800720 10972160 11520768 12000800 12343680 13500900 13715200 14400960 15361024 15429600 16458240 17281152 18001200 19201280 19749888 20572800 21601440 23041536 24001600 24687360 27001800 27430400 28801920 30859200 32916480 34562304 36002400 38402560 41145600 43202880 46083072 48003200 49374720 54003600 54860800 57603840 61718400 69124608 72004800 76805120 82291200 86405760 96006400 98749440 108007200 115207680 123436800 138249216 144009600 164582400 172811520 192012800 216014400 230415360 246873600 288019200 345623040 384025600 432028800 493747200 576038400 691246080 864057600 1152076800 1728115200 3456230400
- Sum of all divisors σ(n): 14149388032
- Sum of proper divisors (its aliquot sum) s(n): 10693157632
- 3456230400 is an abundant number, because the sum of its proper divisors (10693157632) is greater than itself. Its abundance is 7236927232
Bases of 3456230400
- Binary: 110011100000000111100100000000002
- Hexadecimal: 0xCE01E400
- Base-36: 1L5R0G0
Squares and roots of 3456230400
- 3456230400 squared (34562304002) is 11945528577884160000
- 3456230400 cubed (34562304003) is 41286499014952001470464000000
-
The
square root of 3456230400 is 58789.7133859317 -
The
cube root of 3456230400 is 1511.9388570219
Scales and comparisons
How big is 3456230400?- 3,456,230,400 seconds is equal to 109 years, 46 weeks, 4 days, 16 hours.
-
To count from 1 to 3,456,230,400 would take you about two hundred nineteen 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 3456230400 cubic inches would be around 126 feet tall.
Recreational maths with 3456230400
- 3456230400 backwards is 0040326543
- The number of decimal digits it has is: 10
- The sum of 3456230400's digits is 27
- More coming soon!
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