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242444412 = 223271723329
BaseRepresentation
bin11100111001101…
…10100001111100
3121220012110012200
432130312201330
5444031210122
640020231500
76002513010
oct1634664174
9556173180
10242444412
11114943091
126923b590
133b2c8642
14242b0540
15164405ac
hexe73687c

242444412 has 108 divisors (see below), whose sum is σ = 744241680. Its totient is φ = 65175552.

The previous prime is 242444401. The next prime is 242444417. The reversal of 242444412 is 214444242.

242444412 is a `hidden beast` number, since 2 + 4 + 244 + 4 + 412 = 666.

242444412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2424444123 (a number of 26 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242444417) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71164 + ... + 74492.

Almost surely, 2242444412 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 242444412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372120840).

242444412 is an abundant number, since it is smaller than the sum of its proper divisors (501797268).

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

242444412 is a wasteful number, since it uses less digits than its factorization.

242444412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380 (or 3358 counting only the distinct ones).

The product of its digits is 8192, while the sum is 27.

The square root of 242444412 is about 15570.6265769878. The cubic root of 242444412 is about 623.5491997985.

Adding to 242444412 its reverse (214444242), we get a palindrome (456888654).

The spelling of 242444412 in words is "two hundred forty-two million, four hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 289 306 357 476 578 612 714 867 1071 1156 1428 1734 2023 2142 2601 3329 3468 4046 4284 5202 6069 6658 8092 9987 10404 12138 13316 18207 19974 23303 24276 29961 36414 39948 46606 56593 59922 69909 72828 93212 113186 119844 139818 169779 209727 226372 279636 339558 396151 419454 509337 679116 792302 838908 962081 1018674 1188453 1584604 1924162 2037348 2376906 2886243 3565359 3848324 4753812 5772486 6734567 7130718 8658729 11544972 13469134 14261436 17317458 20203701 26938268 34634916 40407402 60611103 80814804 121222206 242444412