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243423444 = 2231122337197
BaseRepresentation
bin11101000001001…
…01100011010100
3121222001012012010
432200211203110
5444304022234
640053224220
76014031225
oct1640454324
9558035163
10243423444
11115451700
1269632070
133b57c154
142448724c
15165856e9
hexe8258d4

243423444 has 144 divisors (see below), whose sum is σ = 672465024. Its totient is φ = 68302080.

The previous prime is 243423431. The next prime is 243423449. The reversal of 243423444 is 444324342.

243423444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2434234442 = 118509946177642272, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243423449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1235554 + ... + 1235750.

It is an arithmetic number, because the mean of its divisors is an integer number (4669896).

Almost surely, 2243423444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243423444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336232512).

243423444 is an abundant number, since it is smaller than the sum of its proper divisors (429041580).

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

243423444 is a wasteful number, since it uses less digits than its factorization.

243423444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 273 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

The square root of 243423444 is about 15602.0333290248. The cubic root of 243423444 is about 624.3874053072.

Adding to 243423444 its reverse (444324342), we get a palindrome (687747786).

It can be divided in two parts, 2434 and 23444, that added together give a triangular number (25878 = T227).

The spelling of 243423444 in words is "two hundred forty-three million, four hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 37 44 46 66 69 74 92 111 121 132 138 148 197 222 242 253 276 363 394 407 444 484 506 591 726 759 788 814 851 1012 1182 1221 1452 1518 1628 1702 2167 2364 2442 2553 2783 3036 3404 4334 4477 4531 4884 5106 5566 6501 7289 8349 8668 8954 9062 9361 10212 11132 13002 13431 13593 14578 16698 17908 18124 18722 21867 23837 26004 26862 27186 28083 29156 33396 37444 43734 47674 49841 53724 54372 56166 71511 80179 87468 95348 99682 102971 112332 143022 149523 160358 167647 199364 205942 240537 286044 299046 308913 320716 335294 411884 481074 502941 548251 598092 617826 670588 881969 962148 1005882 1096502 1235652 1644753 1763938 1844117 2011764 2193004 2645907 3289506 3527876 3688234 5291814 5532351 6579012 7376468 10583628 11064702 20285287 22129404 40570574 60855861 81141148 121711722 243423444