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2143343320 = 2352353113389
BaseRepresentation
bin111111111000000…
…1101001011011000
312112101002010021221
41333300031023120
513342143441240
6552403141424
7104054055226
oct17760151330
95471063257
102143343320
119aa952618
124b9974874
132820853b1
1416492db16
15c8279a4a
hex7fc0d2d8

2143343320 has 128 divisors (see below), whose sum is σ = 5185814400. Its totient is φ = 795418624.

The previous prime is 2143343263. The next prime is 2143343341. The reversal of 2143343320 is 233433412.

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, 5509686 + ... + 5510074.

It is an arithmetic number, because the mean of its divisors is an integer number (40514175).

Almost surely, 22143343320 is an apocalyptic number.

2143343320 is a gapful number since it is divisible by the number (20) 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 2143343320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592907200).

2143343320 is an abundant number, since it is smaller than the sum of its proper divisors (3042471080).

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

2143343320 is a wasteful number, since it uses less digits than its factorization.

2143343320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

The square root of 2143343320 is about 46296.2560041306. The cubic root of 2143343320 is about 1289.3294834803.

Adding to 2143343320 its reverse (233433412), we get a palindrome (2376776732).

The spelling of 2143343320 in words is "two billion, one hundred forty-three million, three hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 53 92 106 113 115 184 212 226 230 265 389 424 452 460 530 565 778 904 920 1060 1130 1219 1556 1945 2120 2260 2438 2599 3112 3890 4520 4876 5198 5989 6095 7780 8947 9752 10396 11978 12190 12995 15560 17894 20617 20792 23956 24380 25990 29945 35788 41234 43957 44735 47912 48760 51980 59890 71576 82468 87914 89470 103085 103960 119780 137747 164936 175828 178940 206170 219785 239560 275494 351656 357880 412340 439570 474191 550988 688735 824680 879140 948382 1011011 1101976 1377470 1758280 1896764 2022022 2329721 2370955 2754940 3793528 4044044 4659442 4741910 5055055 5509880 8088088 9318884 9483820 10110110 11648605 18637768 18967640 20220220 23297210 40440440 46594420 53583583 93188840 107167166 214334332 267917915 428668664 535835830 1071671660 2143343320