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242584305 = 35171950069
BaseRepresentation
bin11100111010110…
…00101011110001
3121220110120002220
432131120223301
5444100144210
640023231253
76003634605
oct1635305361
9556416086
10242584305
11114a291a7
12692a8529
133b347212
1424309505
151646bc70
hexe758af1

242584305 has 32 divisors (see below), whose sum is σ = 432604800. Its totient is φ = 115356672.

The previous prime is 242584297. The next prime is 242584327. The reversal of 242584305 is 503485242.

It is not a de Polignac number, because 242584305 - 23 = 242584297 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20190 + ... + 29879.

It is an arithmetic number, because the mean of its divisors is an integer number (13518900).

Almost surely, 2242584305 is an apocalyptic number.

It is an amenable number.

242584305 is a deficient number, since it is larger than the sum of its proper divisors (190020495).

242584305 is a wasteful number, since it uses less digits than its factorization.

242584305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50113.

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 242584305 is about 15575.1181375937. The cubic root of 242584305 is about 623.6691082417.

The spelling of 242584305 in words is "two hundred forty-two million, five hundred eighty-four thousand, three hundred five".

Divisors: 1 3 5 15 17 19 51 57 85 95 255 285 323 969 1615 4845 50069 150207 250345 751035 851173 951311 2553519 2853933 4255865 4756555 12767595 14269665 16172287 48516861 80861435 242584305