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206352326340 = 2232529101391397
BaseRepresentation
bin1100000000101110001…
…1101001111011000100
3201201122001022022001100
43000023203221323010
511340102143420330
6234444050300100
720623413555606
oct3001343517304
9651561268040
10206352326340
117a571565a86
1233baab87630
13165c73a6c64
149db7a05176
15557aea5060
hex300b8e9ec4

206352326340 has 144 divisors (see below), whose sum is σ = 653932122480. Its totient is φ = 52603622400.

The previous prime is 206352326333. The next prime is 206352326347. The reversal of 206352326340 is 43623253602.

206352326340 is a `hidden beast` number, since 2 + 0 + 6 + 352 + 3 + 263 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (206352326333) and next prime (206352326347).

It can be written as a sum of positive squares in 8 ways, for example, as 838797444 + 205513528896 = 28962^2 + 453336^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 206352326295 and 206352326304.

It is not an unprimeable number, because it can be changed into a prime (206352326347) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 331522 + ... + 722918.

It is an arithmetic number, because the mean of its divisors is an integer number (4541195295).

Almost surely, 2206352326340 is an apocalyptic number.

206352326340 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 206352326340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326966061240).

206352326340 is an abundant number, since it is smaller than the sum of its proper divisors (447579796140).

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

206352326340 is a wasteful number, since it uses less digits than its factorization.

206352326340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391542 (or 391537 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 206352326340 its reverse (43623253602), we get a palindrome (249975579942).

The spelling of 206352326340 in words is "two hundred six billion, three hundred fifty-two million, three hundred twenty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 101 116 145 174 180 202 261 290 303 348 404 435 505 522 580 606 870 909 1010 1044 1212 1305 1515 1740 1818 2020 2610 2929 3030 3636 4545 5220 5858 6060 8787 9090 11716 14645 17574 18180 26361 29290 35148 43935 52722 58580 87870 105444 131805 175740 263610 391397 527220 782794 1174191 1565588 1956985 2348382 3522573 3913970 4696764 5870955 7045146 7827940 11350513 11741910 14090292 17612865 22701026 23483820 34051539 35225730 39531097 45402052 56752565 68103078 70451460 79062194 102154617 113505130 118593291 136206156 158124388 170257695 197655485 204309234 227010260 237186582 340515390 355779873 395310970 408618468 474373164 510773085 592966455 681030780 711559746 790621940 1021546170 1146401813 1185932910 1423119492 1778899365 2043092340 2292803626 2371865820 3439205439 3557798730 4585607252 5732009065 6878410878 7115597460 10317616317 11464018130 13756821756 17196027195 20635232634 22928036260 34392054390 41270465268 51588081585 68784108780 103176163170 206352326340