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242703468 = 223272137587
BaseRepresentation
bin11100111011101…
…01110001101100
3121220200121120100
432131311301230
5444113002333
640025551100
76004642200
oct1635656154
9556617510
10242703468
11114aaa787
1269345490
133b389527
142433ab00
1516492213
hexe775c6c

242703468 has 54 divisors (see below), whose sum is σ = 713668956. Its totient is φ = 69343344.

The previous prime is 242703457. The next prime is 242703469. The reversal of 242703468 is 864307242.

242703468 is a `hidden beast` number, since 242 + 70 + 346 + 8 = 666.

242703468 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 (36).

It is not an unprimeable number, because it can be changed into a prime (242703469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67030 + ... + 70557.

Almost surely, 2242703468 is an apocalyptic number.

242703468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

242703468 is an abundant number, since it is smaller than the sum of its proper divisors (470965488).

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

242703468 is a wasteful number, since it uses less digits than its factorization.

242703468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137611 (or 137599 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 242703468 is about 15578.9430963721. The cubic root of 242703468 is about 623.7712117370.

The spelling of 242703468 in words is "two hundred forty-two million, seven hundred three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 137587 275174 412761 550348 825522 963109 1238283 1651044 1926218 2476566 2889327 3852436 4953132 5778654 6741763 8667981 11557308 13483526 17335962 20225289 26967052 34671924 40450578 60675867 80901156 121351734 242703468