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243411343300 = 225210138896197
BaseRepresentation
bin1110001010110001110…
…0100101011111000100
3212021021202101102021001
43202230130211133010
512442001300441200
6303453245503044
723404650165046
oct3425434453704
9767252342231
10243411343300
11942593a2a24
123b211b71a84
1319c52069668
14bad176da96
1564e96a476a
hex38ac7257c4

243411343300 has 72 divisors (see below), whose sum is σ = 533655609480. Its totient is φ = 96360192000.

The previous prime is 243411343291. The next prime is 243411343337. The reversal of 243411343300 is 3343114342.

243411343300 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 7704977284 + 235706366016 = 87778^2 + 485496^2 .

It is a super-2 number, since 2×2434113433002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39275802 + ... + 39281998.

It is an arithmetic number, because the mean of its divisors is an integer number (7411883465).

Almost surely, 2243411343300 is an apocalyptic number.

243411343300 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 243411343300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266827804740).

243411343300 is an abundant number, since it is smaller than the sum of its proper divisors (290244266180).

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

243411343300 is a wasteful number, since it uses less digits than its factorization.

243411343300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10201 (or 10194 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 243411343300 its reverse (3343114342), we get a palindrome (246754457642).

The spelling of 243411343300 in words is "two hundred forty-three billion, four hundred eleven million, three hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 3889 5050 6197 7778 10100 12394 15556 19445 24788 30985 38890 61970 77780 97225 123940 154925 194450 309850 388900 392789 619700 625897 785578 1251794 1571156 1963945 2503588 3129485 3927890 6258970 7855780 9819725 12517940 15647425 19639450 24100133 31294850 39278900 48200266 62589700 96400532 120500665 241001330 482002660 602503325 1205006650 2410013300 2434113433 4868226866 9736453732 12170567165 24341134330 48682268660 60852835825 121705671650 243411343300