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242314065 = 335735233
BaseRepresentation
bin11100111000101…
…10101101010001
3121212221211102000
432130112231101
5444013022230
640013344213
76001431000
oct1634265521
9555854360
10242314065
11114864164
1269198069
133b281206
1424278c37
1516416b60
hexe716b51

242314065 has 64 divisors (see below), whose sum is σ = 502464000. Its totient is φ = 110750976.

The previous prime is 242314063. The next prime is 242314099. The reversal of 242314065 is 560413242.

242314065 is a `hidden beast` number, since 24 + 231 + 406 + 5 = 666.

It is not a de Polignac number, because 242314065 - 21 = 242314063 is a prime.

It is a super-2 number, since 2×2423140652 = 117432212193648450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (242314063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43689 + ... + 48921.

It is an arithmetic number, because the mean of its divisors is an integer number (7851000).

Almost surely, 2242314065 is an apocalyptic number.

It is an amenable number.

242314065 is an abundant number, since it is smaller than the sum of its proper divisors (260149935).

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

242314065 is an equidigital number, since it uses as much as digits as its factorization.

242314065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268 (or 5248 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 242314065 is about 15566.4403445361. The cubic root of 242314065 is about 623.4374321330.

The spelling of 242314065 in words is "two hundred forty-two million, three hundred fourteen thousand, sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 343 441 735 945 1029 1323 1715 2205 3087 5145 5233 6615 9261 15435 15699 26165 36631 46305 47097 78495 109893 141291 183155 235485 256417 329679 549465 706455 769251 989037 1282085 1648395 1794919 2307753 3846255 4945185 5384757 6923259 8974595 11538765 16154271 26923785 34616295 48462813 80771355 242314065