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242424032 = 2516346477
BaseRepresentation
bin11100111001100…
…01100011100000
3121220011102020212
432130301203200
5444030032112
640015553252
76002366414
oct1634614340
9556142225
10242424032
11114929844
126922b828
133b2bc296
14242a6d44
1516439522
hexe7318e0

242424032 has 24 divisors (see below), whose sum is σ = 480210696. Its totient is φ = 120465792.

The previous prime is 242424031. The next prime is 242424053. The reversal of 242424032 is 230424242.

It is a super-2 number, since 2×2424240322 = 117538822582274048, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 242423989 and 242424007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242424031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18023 + ... + 28454.

It is an arithmetic number, because the mean of its divisors is an integer number (20008779).

Almost surely, 2242424032 is an apocalyptic number.

It is an amenable number.

242424032 is a deficient number, since it is larger than the sum of its proper divisors (237786664).

242424032 is a wasteful number, since it uses less digits than its factorization.

242424032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46650 (or 46642 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 242424032 is about 15569.9721258582. The cubic root of 242424032 is about 623.5317273551.

Adding to 242424032 its reverse (230424242), we get a palindrome (472848274).

The spelling of 242424032 in words is "two hundred forty-two million, four hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 163 326 652 1304 2608 5216 46477 92954 185908 371816 743632 1487264 7575751 15151502 30303004 60606008 121212016 242424032