342379128
342,379,128 is an even composite number composed of six prime numbers multiplied together.
What does the number 342379128 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 192 divisors.
342379128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 342379128:
23 × 3 × 7 × 132 × 31 × 389
(2 × 2 × 2 × 3 × 7 × 13 × 13 × 31 × 389)See below for interesting mathematical facts about the number 342379128 from the Numbermatics database.
Names of 342379128
- Cardinal: 342379128 can be written as Three hundred forty-two million, three hundred seventy-nine thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 3.42379128 × 108
Factors of 342379128
Divisors of 342379128
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 21 24 26 28 31 39 42 52 56 62 78 84 91 93 104 124 156 168 169 182 186 217 248 273 312 338 364 372 389 403 434 507 546 651 676 728 744 778 806 868 1014 1092 1167 1183 1209 1302 1352 1556 1612 1736 2028 2184 2334 2366 2418 2604 2723 2821 3112 3224 3549 4056 4668 4732 4836 5057 5208 5239 5446 5642 7098 8169 8463 9336 9464 9672 10114 10478 10892 11284 12059 14196 15171 15717 16338 16926 20228 20956 21784 22568 24118 28392 30342 31434 32676 33852 35399 36177 36673 40456 41912 48236 60684 62868 65352 65741 67704 70798 72354 73346 84413 96472 106197 110019 121368 125736 131482 141596 144708 146692 156767 168826 197223 212394 220038 253239 262964 283192 289416 293384 313534 337652 394446 424788 440076 460187 470301 506478 525928 627068 675304 788892 849576 880152 920374 940602 1012956 1097369 1254136 1380561 1577784 1840748 1881204 2025912 2037971 2194738 2761122 3292107 3681496 3762408 4075942 4389476 5522244 6113913 6584214 8151884 8778952 11044488 12227826 13168428 14265797 16303768 24455652 26336856 28531594 42797391 48911304 57063188 85594782 114126376 171189564 342379128
- Sum of all divisors σ(n): 1096243200
- Sum of proper divisors (its aliquot sum) s(n): 753864072
- 342379128 is an abundant number, because the sum of its proper divisors (753864072) is greater than itself. Its abundance is 411484944
Bases of 342379128
- Binary: 101000110100001001010011110002
- Hexadecimal: 0x14684A78
- Base-36: 5NUDFC
Squares and roots of 342379128
- 342379128 squared (3423791282) is 117223467290040384
- 342379128 cubed (3423791283) is 40134868511900549758705152
-
The
square root of 342379128 is 18503.4896168263 -
The
cube root of 342379128 is 699.5773829961
Scales and comparisons
How big is 342379128?- 342,379,128 seconds is equal to 10 years, 46 weeks, 17 hours, 18 minutes, 48 seconds.
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To count from 1 to 342,379,128 would take you about sixteen 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 342379128 cubic inches would be around 58.3 feet tall.
Recreational maths with 342379128
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