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242300322 = 23411247263
BaseRepresentation
bin11100111000100…
…11010110100010
3121212221010120000
432130103112202
5444012102242
640013200430
76001342635
oct1634232642
9555833500
10242300322
11114854900
1269190116
133b277b94
1424273c1c
1516412a4c
hexe7135a2

242300322 has 120 divisors (see below), whose sum is σ = 611791488. Its totient is φ = 71588880.

The previous prime is 242300299. The next prime is 242300327. The reversal of 242300322 is 223003242.

242300322 is a `hidden beast` number, since 2 + 42 + 300 + 322 = 666.

242300322 is digitally balanced in base 2 and base 3, because in such bases 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 242300295 and 242300304.

It is not an unprimeable number, because it can be changed into a prime (242300327) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 921163 + ... + 921425.

Almost surely, 2242300322 is an apocalyptic number.

242300322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 242300322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305895744).

242300322 is an abundant number, since it is smaller than the sum of its proper divisors (369491166).

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

242300322 is a wasteful number, since it uses less digits than its factorization.

242300322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 242300322 is about 15565.9989078761. The cubic root of 242300322 is about 623.4256456901.

Adding to 242300322 its reverse (223003242), we get a palindrome (465303564).

It can be divided in two parts, 2 and 42300322, that added together give a palindrome (42300324).

The spelling of 242300322 in words is "two hundred forty-two million, three hundred thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 81 94 99 121 141 162 198 242 263 282 297 363 423 517 526 594 726 789 846 891 1034 1089 1269 1551 1578 1782 2178 2367 2538 2893 3102 3267 3807 4653 4734 5687 5786 6534 7101 7614 8679 9306 9801 11374 12361 13959 14202 17061 17358 19602 21303 24722 26037 27918 31823 34122 37083 41877 42606 51183 52074 63646 74166 78111 83754 95469 102366 111249 135971 153549 156222 190938 222498 234333 271942 286407 307098 333747 407913 460647 468666 572814 667494 815826 859221 921294 1001241 1223739 1495681 1718442 2002482 2447478 2577663 2991362 3671217 4487043 5155326 7342434 8974086 11013651 13461129 22027302 26922258 40383387 80766774 121150161 242300322