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243123424344 = 233312713076781
BaseRepresentation
bin1110001001101101001…
…0010000110001011000
3212020112200121121201000
43202123102100301120
512440404044034334
6303404522425000
723364553003143
oct3423322206130
9766480547630
10243123424344
1194120920179
123b151662160
1319c0750b708
14baa542305a
1564ce280299
hex389b490c58

243123424344 has 128 divisors (see below), whose sum is σ = 681281740800. Its totient is φ = 80329656960.

The previous prime is 243123424331. The next prime is 243123424367. The reversal of 243123424344 is 443424321342.

243123424344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 243123424299 and 243123424308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35850234 + ... + 35857014.

It is an arithmetic number, because the mean of its divisors is an integer number (5322513600).

Almost surely, 2243123424344 is an apocalyptic number.

243123424344 is a gapful number since it is divisible by the number (24) 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 243123424344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340640870400).

243123424344 is an abundant number, since it is smaller than the sum of its proper divisors (438158316456).

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

243123424344 is a wasteful number, since it uses less digits than its factorization.

243123424344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8230 (or 8220 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 243123424344 its reverse (443424321342), we get a palindrome (686547745686).

The spelling of 243123424344 in words is "two hundred forty-three billion, one hundred twenty-three million, four hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 127 216 254 381 508 762 1016 1143 1307 1524 2286 2614 3048 3429 3921 4572 5228 6781 6858 7842 9144 10456 11763 13562 13716 15684 20343 23526 27124 27432 31368 35289 40686 47052 54248 61029 70578 81372 94104 122058 141156 162744 165989 183087 244116 282312 331978 366174 488232 497967 663956 732348 861187 995934 1327912 1464696 1493901 1722374 1991868 2583561 2987802 3444748 3983736 4481703 5167122 5975604 6889496 7750683 8862767 8963406 10334244 11951208 15501366 17725534 17926812 20668488 23252049 26588301 31002732 35451068 35853624 46504098 53176602 62005464 70902136 79764903 93008196 106353204 159529806 186016392 212706408 239294709 319059612 478589418 638119224 957178836 1125571409 1914357672 2251142818 3376714227 4502285636 6753428454 9004571272 10130142681 13506856908 20260285362 27013713816 30390428043 40520570724 60780856086 81041141448 121561712172 243123424344