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242023356 = 223317612161
BaseRepresentation
bin11100110110011…
…11101110111100
3121212102001122000
432123033232330
5443424221411
640003222300
75666110311
oct1633175674
9555361560
10242023356
11114685803
1269077990
133b1abab3
1424200d08
15163aa956
hexe6cfbbc

242023356 has 96 divisors (see below), whose sum is σ = 675581760. Its totient is φ = 74649600.

The previous prime is 242023343. The next prime is 242023361. The reversal of 242023356 is 653320242.

242023356 is a `hidden beast` number, since 2 + 420 + 233 + 5 + 6 = 666.

242023356 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 (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 110916 + ... + 113076.

It is an arithmetic number, because the mean of its divisors is an integer number (7037310).

Almost surely, 2242023356 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 242023356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337790880).

242023356 is an abundant number, since it is smaller than the sum of its proper divisors (433558404).

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

242023356 is a wasteful number, since it uses less digits than its factorization.

242023356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 242023356 is about 15557.0998582641. The cubic root of 242023356 is about 623.1880156034.

Adding to 242023356 its reverse (653320242), we get a palindrome (895343598).

The spelling of 242023356 in words is "two hundred forty-two million, twenty-three thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 61 68 102 108 122 153 183 204 244 306 366 459 549 612 732 918 1037 1098 1647 1836 2074 2161 2196 3111 3294 4148 4322 6222 6483 6588 8644 9333 12444 12966 18666 19449 25932 27999 36737 37332 38898 55998 58347 73474 77796 110211 111996 116694 131821 146948 220422 233388 263642 330633 395463 440844 527284 661266 790926 991899 1186389 1322532 1581852 1983798 2240957 2372778 3559167 3967596 4481914 4745556 6722871 7118334 8963828 13445742 14236668 20168613 26891484 40337226 60505839 80674452 121011678 242023356