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243323202330 = 2325131289161341
BaseRepresentation
bin1110001010011100110…
…0010110101100011010
3212021001121112101120200
43202213030112230122
512441311214433310
6303440420403030
723402530044225
oct3424714265432
9767047471520
10243323202330
119421367134a
123b1a8546476
1319c39a18940
14bac3b885bc
1564e1a939c0
hex38a7316b1a

243323202330 has 96 divisors (see below), whose sum is σ = 681837745680. Its totient is φ = 59848104960.

The previous prime is 243323202319. The next prime is 243323202359. The reversal of 243323202330 is 33202323342.

243323202330 is a `hidden beast` number, since 2 + 4 + 3 + 3 + 2 + 320 + 2 + 330 = 666.

243323202330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 50534590401 + 192788611929 = 224799^2 + 439077^2 .

It is a super-2 number, since 2×2433232023302 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 243323202294 and 243323202303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1427460 + ... + 1588800.

Almost surely, 2243323202330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243323202330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340918872840).

243323202330 is an abundant number, since it is smaller than the sum of its proper divisors (438514543350).

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

243323202330 is a wasteful number, since it uses less digits than its factorization.

243323202330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162656 (or 162653 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 243323202330 its reverse (33202323342), we get a palindrome (276525525672).

The spelling of 243323202330 in words is "two hundred forty-three billion, three hundred twenty-three million, two hundred two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 1289 2578 3867 6445 7734 11601 12890 16757 19335 23202 33514 38670 50271 58005 83785 100542 116010 150813 161341 167570 251355 301626 322682 484023 502710 754065 806705 968046 1452069 1508130 1613410 2097433 2420115 2904138 4194866 4840230 6292299 7260345 10487165 12584598 14520690 18876897 20974330 31461495 37753794 62922990 94384485 188768970 207968549 415937098 623905647 1039842745 1247811294 1871716941 2079685490 2703591137 3119528235 3743433882 5407182274 6239056470 8110773411 9358584705 13517955685 16221546822 18717169410 24332320233 27035911370 40553867055 48664640466 81107734110 121661601165 243323202330