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1340443000 = 235313971063
BaseRepresentation
bin100111111100101…
…1000100101111000
310110102021120010001
41033321120211320
510221123134000
6341002202344
745134402041
oct11771304570
93412246101
101340443000
11628710736
12314ab33b4
13184928350
14ca04b8c8
157ca2d46a
hex4fe58978

1340443000 has 128 divisors (see below), whose sum is σ = 3415950720. Its totient is φ = 489369600.

The previous prime is 1340442991. The next prime is 1340443019. The reversal of 1340443000 is 3440431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1260469 + ... + 1261531.

It is an arithmetic number, because the mean of its divisors is an integer number (26687115).

Almost surely, 21340443000 is an apocalyptic number.

1340443000 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 1340443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707975360).

1340443000 is an abundant number, since it is smaller than the sum of its proper divisors (2075507720).

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

1340443000 is a wasteful number, since it uses less digits than its factorization.

1340443000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 1340443000 is about 36612.0608543141. The cubic root of 1340443000 is about 1102.5952495766.

Adding to 1340443000 its reverse (3440431), we get a palindrome (1343883431).

The spelling of 1340443000 in words is "one billion, three hundred forty million, four hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 97 100 104 125 130 194 200 250 260 325 388 485 500 520 650 776 970 1000 1063 1261 1300 1625 1940 2126 2425 2522 2600 3250 3880 4252 4850 5044 5315 6305 6500 8504 9700 10088 10630 12125 12610 13000 13819 19400 21260 24250 25220 26575 27638 31525 42520 48500 50440 53150 55276 63050 69095 97000 103111 106300 110552 126100 132875 138190 157625 206222 212600 252200 265750 276380 315250 345475 412444 515555 531500 552760 630500 690950 824888 1031110 1063000 1261000 1340443 1381900 1727375 2062220 2577775 2680886 2763800 3454750 4124440 5155550 5361772 6702215 6909500 10311100 10723544 12888875 13404430 13819000 20622200 25777750 26808860 33511075 51555500 53617720 67022150 103111000 134044300 167555375 268088600 335110750 670221500 1340443000