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213443340 = 2235111917021
BaseRepresentation
bin11001011100011…
…10001100001100
3112212122001012220
430232032030030
5414120141330
633102455340
75201144535
oct1456161414
9485561186
10213443340
11aa535160
125b594550
13352b3246
14204c168c
1513b12710
hexcb8e30c

213443340 has 96 divisors (see below), whose sum is σ = 686327040. Its totient is φ = 49017600.

The previous prime is 213443323. The next prime is 213443341. The reversal of 213443340 is 43344312.

It is a self number, because there is not a number n which added to its sum of digits gives 213443340.

It is not an unprimeable number, because it can be changed into a prime (213443341) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4030 + ... + 21050.

It is an arithmetic number, because the mean of its divisors is an integer number (7149240).

Almost surely, 2213443340 is an apocalyptic number.

213443340 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 213443340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343163520).

213443340 is an abundant number, since it is smaller than the sum of its proper divisors (472883700).

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

213443340 is a wasteful number, since it uses less digits than its factorization.

213443340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17063 (or 17061 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 213443340 is about 14609.7002022629. The cubic root of 213443340 is about 597.6233203088.

Adding to 213443340 its reverse (43344312), we get a palindrome (256787652).

The spelling of 213443340 in words is "two hundred thirteen million, four hundred forty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 6270 12540 17021 34042 51063 68084 85105 102126 170210 187231 204252 255315 323399 340420 374462 510630 561693 646798 748924 936155 970197 1021260 1123386 1293596 1616995 1872310 1940394 2246772 2808465 3233990 3557389 3744620 3880788 4850985 5616930 6467980 7114778 9701970 10672167 11233860 14229556 17786945 19403940 21344334 35573890 42688668 53360835 71147780 106721670 213443340