Search a number
-
+
1344220020 = 22325111352223
BaseRepresentation
bin101000000011111…
…0010101101110100
310110200101110012200
41100013302231310
510223110020040
6341215144500
745211452543
oct12007625564
93420343180
101344220020
1162a860440
12316215130
1318564b580
14ca75215a
157d027630
hex501f2b74

1344220020 has 144 divisors (see below), whose sum is σ = 4790403072. Its totient is φ = 300798720.

The previous prime is 1344220001. The next prime is 1344220043. The reversal of 1344220020 is 200224431.

1344220020 is a `hidden beast` number, since 1 + 3 + 442 + 200 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1344219975 and 1344220002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372 + ... + 51851.

It is an arithmetic number, because the mean of its divisors is an integer number (33266688).

Almost surely, 21344220020 is an apocalyptic number.

1344220020 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 1344220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395201536).

1344220020 is an abundant number, since it is smaller than the sum of its proper divisors (3446183052).

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

1344220020 is a wasteful number, since it uses less digits than its factorization.

1344220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52262 (or 52257 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1344220020 is about 36663.6062056094. The cubic root of 1344220020 is about 1103.6298873556.

Adding to 1344220020 its reverse (200224431), we get a palindrome (1544444451).

The spelling of 1344220020 in words is "one billion, three hundred forty-four million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1287 1430 1716 1980 2145 2340 2574 2860 4290 5148 6435 8580 12870 25740 52223 104446 156669 208892 261115 313338 470007 522230 574453 626676 678899 783345 940014 1044460 1148906 1357798 1566690 1723359 1880028 2036697 2297812 2350035 2715596 2872265 3133380 3394495 3446718 4073394 4700070 5170077 5744530 6110091 6788990 6893436 7467889 8146788 8616795 9400140 10183485 10340154 11489060 12220182 13577980 14935778 17233590 20366970 20680308 22403667 24440364 25850385 29871556 30550455 34467180 37339445 40733940 44807334 51700770 61100910 67211001 74678890 89614668 103401540 112018335 122201820 134422002 149357780 224036670 268844004 336055005 448073340 672110010 1344220020