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1343008080 = 243354713229
BaseRepresentation
bin101000000001100…
…1010110101010000
310110121002212202000
41100003022311100
510222302224310
6341133154000
745165244311
oct12003126520
93417085660
101343008080
1162a102937
1231592b900
13185315a4b
14ca518608
157cd884c0
hex500cad50

1343008080 has 160 divisors (see below), whose sum is σ = 4724697600. Its totient is φ = 350489088.

The previous prime is 1343008061. The next prime is 1343008081. The reversal of 1343008080 is 808003431.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343008081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94906 + ... + 108134.

It is an arithmetic number, because the mean of its divisors is an integer number (29529360).

Almost surely, 21343008080 is an apocalyptic number.

1343008080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1343008080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362348800).

1343008080 is an abundant number, since it is smaller than the sum of its proper divisors (3381689520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1343008080 is a wasteful number, since it uses less digits than its factorization.

1343008080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13298 (or 13286 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1343008080 is about 36647.0746445061. The cubic root of 1343008080 is about 1103.2981124583.

The spelling of 1343008080 in words is "one billion, three hundred forty-three million, eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 47 48 54 60 72 80 90 94 108 120 135 141 144 180 188 216 235 240 270 282 360 376 423 432 470 540 564 705 720 752 846 940 1080 1128 1269 1410 1692 1880 2115 2160 2256 2538 2820 3384 3760 4230 5076 5640 6345 6768 8460 10152 11280 12690 13229 16920 20304 25380 26458 33840 39687 50760 52916 66145 79374 101520 105832 119061 132290 158748 198435 211664 238122 264580 317496 357183 396870 476244 529160 595305 621763 634992 714366 793740 952488 1058320 1190610 1243526 1428732 1587480 1785915 1865289 1904976 2381220 2487052 2857464 3108815 3174960 3571830 3730578 4762440 4974104 5595867 5714928 6217630 7143660 7461156 9326445 9524880 9948208 11191734 12435260 14287320 14922312 16787601 18652890 22383468 24870520 27979335 28574640 29844624 33575202 37305780 44766936 49741040 55958670 67150404 74611560 83938005 89533872 111917340 134300808 149223120 167876010 223834680 268601616 335752020 447669360 671504040 1343008080