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242643348 = 223229232417
BaseRepresentation
bin11100111011001…
…11000110010100
3121220120120002200
432131213012110
5444104041343
640024404500
76004302003
oct1635470624
9556516080
10242643348
11114a695a2
1269316730
133b36805c
1424322c3a
151647e4d3
hexe767194

242643348 has 36 divisors (see below), whose sum is σ = 634501140. Its totient is φ = 78091776.

The previous prime is 242643347. The next prime is 242643391. The reversal of 242643348 is 843346242.

242643348 is a `hidden beast` number, since 2 + 4 + 2 + 643 + 3 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106874244 + 135769104 = 10338^2 + 11652^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242643347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115165 + ... + 117252.

Almost surely, 2242643348 is an apocalyptic number.

It is an amenable number.

242643348 is an abundant number, since it is smaller than the sum of its proper divisors (391857792).

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

242643348 is a wasteful number, since it uses less digits than its factorization.

242643348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232456 (or 232451 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 242643348 is about 15577.0134493105. The cubic root of 242643348 is about 623.7197027598.

The spelling of 242643348 in words is "two hundred forty-two million, six hundred forty-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 232417 464834 697251 929668 1394502 2091753 2789004 4183506 6740093 8367012 13480186 20220279 26960372 40440558 60660837 80881116 121321674 242643348