Search a number
-
+
344023243020 = 223252269184229
BaseRepresentation
bin1010000000110010110…
…00100001100100001100
31012212222120102111010100
411000121120201210030
521114024422234040
6422013032011100
733566134213542
oct5003130414414
91185876374110
10344023243020
11122999174376
1256810830a90
1326597580132
1412917b93d92
158e374acb30
hex501962190c

344023243020 has 72 divisors (see below), whose sum is σ = 1043595549360. Its totient is φ = 91734399360.

The previous prime is 344023243013. The next prime is 344023243049. The reversal of 344023243020 is 20342320443.

344023243020 is a `hidden beast` number, since 34 + 4 + 0 + 2 + 324 + 302 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4042266 + ... + 4126494.

It is an arithmetic number, because the mean of its divisors is an integer number (14494382630).

Almost surely, 2344023243020 is an apocalyptic number.

344023243020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344023243020 is an abundant number, since it is smaller than the sum of its proper divisors (699572306340).

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

344023243020 is a wasteful number, since it uses less digits than its factorization.

344023243020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106935 (or 106930 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 344023243020 its reverse (20342320443), we get a palindrome (364365563463).

The spelling of 344023243020 in words is "three hundred forty-four billion, twenty-three million, two hundred forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 22691 45382 68073 84229 90764 113455 136146 168458 204219 226910 252687 272292 336916 340365 408438 421145 453820 505374 680730 758061 816876 842290 1010748 1021095 1263435 1361460 1516122 1684580 2042190 2526870 3032244 3790305 4084380 5053740 7580610 15161220 1911240239 3822480478 5733720717 7644960956 9556201195 11467441434 17201162151 19112402390 22934882868 28668603585 34402324302 38224804780 57337207170 68804648604 86005810755 114674414340 172011621510 344023243020