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242002431 = 3311814823
BaseRepresentation
bin11100110110010…
…10100111111111
3121212100222221000
432123022213333
5443423034211
640002541343
75665662306
oct1633124777
9555328830
10242002431
11114671010
1269067853
133b1a2408
14241d743d
15163a4656
hexe6ca9ff

242002431 has 16 divisors (see below), whose sum is σ = 391115520. Its totient is φ = 146667960.

The previous prime is 242002427. The next prime is 242002447. The reversal of 242002431 is 134200242.

242002431 is a `hidden beast` number, since 2 + 420 + 0 + 243 + 1 = 666.

It is not a de Polignac number, because 242002431 - 22 = 242002427 is a prime.

It is a super-2 number, since 2×2420024312 = 117130353219819522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242002331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407115 + ... + 407708.

It is an arithmetic number, because the mean of its divisors is an integer number (24444720).

Almost surely, 2242002431 is an apocalyptic number.

242002431 is a deficient number, since it is larger than the sum of its proper divisors (149113089).

242002431 is a wasteful number, since it uses less digits than its factorization.

242002431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814843 (or 814837 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 242002431 is about 15556.4273212071. The cubic root of 242002431 is about 623.1700550985.

Adding to 242002431 its reverse (134200242), we get a palindrome (376202673).

The spelling of 242002431 in words is "two hundred forty-two million, two thousand, four hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 814823 2444469 7333407 8963053 22000221 26889159 80667477 242002431