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242431240 = 2356060781
BaseRepresentation
bin11100111001100…
…11010100001000
3121220011210010211
432130303110020
5444030244430
640020050504
76002426422
oct1634632410
9556153124
10242431240
111149341a7
1269233a34
133b2c264c
14242a9812
151643b72a
hexe733508

242431240 has 16 divisors (see below), whose sum is σ = 545470380. Its totient is φ = 96972480.

The previous prime is 242431229. The next prime is 242431249. The reversal of 242431240 is 42134242.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 230857636 + 11573604 = 15194^2 + 3402^2 .

It is a super-2 number, since 2×2424312402 = 117545812255875200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242431249) 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, 3030351 + ... + 3030430.

Almost surely, 2242431240 is an apocalyptic number.

242431240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242431240 is an abundant number, since it is smaller than the sum of its proper divisors (303039140).

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

242431240 is a wasteful number, since it uses less digits than its factorization.

242431240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6060792 (or 6060788 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 242431240 is about 15570.2035953291. The cubic root of 242431240 is about 623.5379071222.

Adding to 242431240 its reverse (42134242), we get a palindrome (284565482).

The spelling of 242431240 in words is "two hundred forty-two million, four hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 6060781 12121562 24243124 30303905 48486248 60607810 121215620 242431240