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243124434304 = 2717612577127
BaseRepresentation
bin1110001001101101011…
…0000111010110000000
3212020112202111221002221
43202123112013112000
512440404323344204
6303405000220424
723364564410503
oct3423326072600
9766482457087
10243124434304
119412144aa54
123b151a6a714
1319c077a331b
14baa560713a
1564ce3ce654
hex389b587580

243124434304 has 128 divisors (see below), whose sum is σ = 523349449920. Its totient is φ = 112082288640.

The previous prime is 243124434263. The next prime is 243124434353. The reversal of 243124434304 is 403434421342.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×2431244343043 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 243124434304.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 34109589 + ... + 34116715.

Almost surely, 2243124434304 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 243124434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261674724960).

243124434304 is an abundant number, since it is smaller than the sum of its proper divisors (280225015616).

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

243124434304 is a wasteful number, since it uses less digits than its factorization.

243124434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7476 (or 7464 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 243124434304 its reverse (403434421342), we get a palindrome (646558855646).

The spelling of 243124434304 in words is "two hundred forty-three billion, one hundred twenty-four million, four hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 61 64 68 122 128 136 244 257 272 488 514 544 976 1028 1037 1088 1952 2056 2074 2176 3904 4112 4148 4369 7127 7808 8224 8296 8738 14254 15677 16448 16592 17476 28508 31354 32896 33184 34952 57016 62708 66368 69904 114032 121159 125416 132736 139808 228064 242318 250832 266509 279616 434747 456128 484636 501664 533018 559232 869494 912256 969272 1003328 1066036 1738988 1831639 1938544 2006656 2132072 3477976 3663278 3877088 4264144 6955952 7326556 7390699 7754176 8528288 13911904 14653112 14781398 15508352 17056576 27823808 29306224 29562796 31137863 34113152 55647616 58612448 59125592 62275726 111729979 117224896 118251184 124551452 223459958 234449792 236502368 249102904 446919916 473004736 498205808 893839832 946009472 996411616 1787679664 1899409643 1992823232 3575359328 3798819286 3985646464 7150718656 7597638572 14301437312 15195277144 30390554288 60781108576 121562217152 243124434304