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240242424 = 23310010101
BaseRepresentation
bin11100101000111…
…00111011111000
3121202001120122120
432110130323320
5443000224144
635501121240
75645012142
oct1624347370
9552046576
10240242424
11113679764
1268559220
133aa072a6
1423c99c92
1516157e19
hexe51cef8

240242424 has 16 divisors (see below), whose sum is σ = 600606120. Its totient is φ = 80080800.

The previous prime is 240242413. The next prime is 240242437. The reversal of 240242424 is 424242042.

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: 10010101 = 240242424 / (2 + 4 + 0 + 2 + 4 + 2 + 4 + 2 + 4).

240242424 is a modest number, since divided by 242424 gives 240 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 240242394 and 240242403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5005027 + ... + 5005074.

Almost surely, 2240242424 is an apocalyptic number.

240242424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

240242424 is an abundant number, since it is smaller than the sum of its proper divisors (360363696).

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

240242424 is a wasteful number, since it uses less digits than its factorization.

240242424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10010110 (or 10010106 counting only the distinct ones).

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

The square root of 240242424 is about 15499.7556109766. The cubic root of 240242424 is about 621.6556718158.

Adding to 240242424 its reverse (424242042), we get a palindrome (664484466).

The spelling of 240242424 in words is "two hundred forty million, two hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 10010101 20020202 30030303 40040404 60060606 80080808 120121212 240242424