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242431016 = 23178920029
BaseRepresentation
bin11100111001100…
…11010000101000
3121220011202211112
432130303100220
5444030243031
640020045452
76002425652
oct1634632050
9556152745
10242431016
11114934013
1269233888
133b2c2509
14242a96d2
151643b62b
hexe733428

242431016 has 32 divisors (see below), whose sum is σ = 486729000. Its totient is φ = 112797696.

The previous prime is 242431003. The next prime is 242431037. The reversal of 242431016 is 610134242.

It can be written as a sum of positive squares in 4 ways, for example, as 179292100 + 63138916 = 13390^2 + 7946^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242430982 and 242431000.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2090 + ... + 22118.

Almost surely, 2242431016 is an apocalyptic number.

It is an amenable number.

242431016 is an abundant number, since it is smaller than the sum of its proper divisors (244297984).

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

242431016 is a wasteful number, since it uses less digits than its factorization.

242431016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20141 (or 20137 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 242431016 is about 15570.1964021010. The cubic root of 242431016 is about 623.5377150780.

Adding to 242431016 its reverse (610134242), we get a palindrome (852565258).

The spelling of 242431016 in words is "two hundred forty-two million, four hundred thirty-one thousand, sixteen".

Divisors: 1 2 4 8 17 34 68 89 136 178 356 712 1513 3026 6052 12104 20029 40058 80116 160232 340493 680986 1361972 1782581 2723944 3565162 7130324 14260648 30303877 60607754 121215508 242431016