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242424024 = 23343234907
BaseRepresentation
bin11100111001100…
…01100011011000
3121220011102020120
432130301203120
5444030032044
640015553240
76002366403
oct1634614330
9556142216
10242424024
11114929837
126922b820
133b2bc28b
14242a6d3a
1516439519
hexe7318d8

242424024 has 32 divisors (see below), whose sum is σ = 620157120. Its totient is φ = 78928416.

The previous prime is 242424011. The next prime is 242424031. The reversal of 242424024 is 420424242.

242424024 is digitally balanced in base 2 and base 3, because in such bases 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).

It is a junction number, because it is equal to n+sod(n) for n = 242423985 and 242424003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116422 + ... + 118485.

It is an arithmetic number, because the mean of its divisors is an integer number (19379910).

Almost surely, 2242424024 is an apocalyptic number.

242424024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242424024 is an abundant number, since it is smaller than the sum of its proper divisors (377733096).

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

242424024 is a wasteful number, since it uses less digits than its factorization.

242424024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234959 (or 234955 counting only the distinct ones).

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

The square root of 242424024 is about 15569.9718689534. The cubic root of 242424024 is about 623.5317204963.

Adding to 242424024 its reverse (420424242), we get a palindrome (662848266).

The spelling of 242424024 in words is "two hundred forty-two million, four hundred twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 234907 469814 704721 939628 1409442 1879256 2818884 5637768 10101001 20202002 30303003 40404004 60606006 80808008 121212012 242424024