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243400344400 = 245210122926309
BaseRepresentation
bin1110001010101111001…
…0101000001101010000
3212021020222200121121101
43202223302220031100
512441440442010100
6303452214034144
723404454535223
oct3425362501520
9767228617541
10243400344400
1194253170324
123b20a348954
1319c4c9b8235
14bad01095ba
1564e873086a
hex38abca8350

243400344400 has 120 divisors (see below), whose sum is σ = 593160528600. Its totient is φ = 95971584000.

The previous prime is 243400344377. The next prime is 243400344401. The reversal of 243400344400 is 4443004342.

It can be written as a sum of positive squares in 12 ways, for example, as 12623870736 + 230776473664 = 112356^2 + 480392^2 .

It is a super-2 number, since 2×2434003444002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243400344401) 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 23 ways as a sum of consecutive naturals, for example, 9238446 + ... + 9264754.

It is an arithmetic number, because the mean of its divisors is an integer number (4943004405).

Almost surely, 2243400344400 is an apocalyptic number.

243400344400 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 243400344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296580264300).

243400344400 is an abundant number, since it is smaller than the sum of its proper divisors (349760184200).

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

243400344400 is a wasteful number, since it uses less digits than its factorization.

243400344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26657 (or 26646 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 243400344400 its reverse (4443004342), we get a palindrome (247843348742).

The spelling of 243400344400 in words is "two hundred forty-three billion, four hundred million, three hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 200 202 229 400 404 458 505 808 916 1010 1145 1616 1832 2020 2290 2525 3664 4040 4580 5050 5725 8080 9160 10100 11450 18320 20200 22900 23129 26309 40400 45800 46258 52618 91600 92516 105236 115645 131545 185032 210472 231290 263090 370064 420944 462580 526180 578225 657725 925160 1052360 1156450 1315450 1850320 2104720 2312900 2630900 2657209 4625800 5261800 5314418 6024761 9251600 10523600 10628836 12049522 13286045 21257672 24099044 26572090 30123805 42515344 48198088 53144180 60247610 66430225 96396176 106288360 120495220 132860450 150619025 212576720 240990440 265720900 301238050 481980880 531441800 602476100 608500861 1062883600 1204952200 1217001722 2409904400 2434003444 3042504305 4868006888 6085008610 9736013776 12170017220 15212521525 24340034440 30425043050 48680068880 60850086100 121700172200 243400344400