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242024424 = 23310084351
BaseRepresentation
bin11100110110011…
…11111111101000
3121212102010002120
432123033333220
5443424240144
640003231240
75666113365
oct1633177750
9555363076
10242024424
11114686594
1269078520
133b1ac425
142420146c
15163aae19
hexe6cffe8

242024424 has 16 divisors (see below), whose sum is σ = 605061120. Its totient is φ = 80674800.

The previous prime is 242024399. The next prime is 242024429. The reversal of 242024424 is 424420242.

242024424 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 (24), and also a Moran number because the ratio is a prime number: 10084351 = 242024424 / (2 + 4 + 2 + 0 + 2 + 4 + 4 + 2 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 242024394 and 242024403.

It is not an unprimeable number, because it can be changed into a prime (242024429) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5042152 + ... + 5042199.

It is an arithmetic number, because the mean of its divisors is an integer number (37816320).

Almost surely, 2242024424 is an apocalyptic number.

242024424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242024424 is an abundant number, since it is smaller than the sum of its proper divisors (363036696).

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

242024424 is a wasteful number, since it uses less digits than its factorization.

242024424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10084360 (or 10084356 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 242024424 is about 15557.1341833899. The cubic root of 242024424 is about 623.1889322696.

Adding to 242024424 its reverse (424420242), we get a palindrome (666444666).

The spelling of 242024424 in words is "two hundred forty-two million, twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 10084351 20168702 30253053 40337404 60506106 80674808 121012212 242024424