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243433312344 = 23323794796493
BaseRepresentation
bin1110001010110111000…
…0011001000001011000
3212021100021201120010100
43202231300121001120
512442022411443334
6303455352415400
723405335004535
oct3425560310130
9767307646110
10243433312344
119426a838662
123b2193a7560
1319c5678c0b1
14bad464bd8c
1564eb593c99
hex38adc19058

243433312344 has 96 divisors (see below), whose sum is σ = 677839471920. Its totient is φ = 78867157248.

The previous prime is 243433312313. The next prime is 243433312363. The reversal of 243433312344 is 443213334342.

243433312344 is a `hidden beast` number, since 243 + 43 + 3 + 31 + 2 + 344 = 666.

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 = 243433312299 and 243433312308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2474562 + ... + 2571054.

Almost surely, 2243433312344 is an apocalyptic number.

243433312344 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 243433312344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338919735960).

243433312344 is an abundant number, since it is smaller than the sum of its proper divisors (434406159576).

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

243433312344 is a wasteful number, since it uses less digits than its factorization.

243433312344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97489 (or 97482 counting only the distinct ones).

The product of its digits is 248832, while the sum is 36.

Adding to 243433312344 its reverse (443213334342), we get a palindrome (686646646686).

The spelling of 243433312344 in words is "two hundred forty-three billion, four hundred thirty-three million, three hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 947 1332 1894 2664 2841 3788 5682 7576 8523 11364 17046 22728 34092 35039 68184 70078 96493 105117 140156 192986 210234 280312 289479 315351 385972 420468 578958 630702 771944 840936 868437 1157916 1261404 1736874 2315832 2522808 3473748 3570241 6947496 7140482 10710723 14280964 21421446 28561928 32132169 42842892 64264338 85685784 91378871 128528676 182757742 257057352 274136613 365515484 548273226 731030968 822409839 1096546452 1644819678 2193092904 3289639356 3381018227 6579278712 6762036454 10143054681 13524072908 20286109362 27048145816 30429164043 40572218724 60858328086 81144437448 121716656172 243433312344