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242302000 = 2453121151
BaseRepresentation
bin11100111000100…
…11110000110000
3121212221012212011
432130103300300
5444012131000
640013212304
76001350553
oct1634236060
9555835764
10242302000
11114856096
1269191094
133b278885
142427469a
15164132ba
hexe713c30

242302000 has 40 divisors (see below), whose sum is σ = 585891072. Its totient is φ = 96920000.

The previous prime is 242301977. The next prime is 242302007. The reversal of 242302000 is 203242.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (242302007) by changing a digit.

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, 58576 + ... + 62575.

Almost surely, 2242302000 is an apocalyptic number.

242302000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242302000 is an abundant number, since it is smaller than the sum of its proper divisors (343589072).

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

242302000 is a wasteful number, since it uses less digits than its factorization.

242302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121174 (or 121158 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 242302000 is about 15566.0528073112. The cubic root of 242302000 is about 623.4270848213.

Adding to 242302000 its reverse (203242), we get a palindrome (242505242).

The spelling of 242302000 in words is "two hundred forty-two million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 121151 242302 484604 605755 969208 1211510 1938416 2423020 3028775 4846040 6057550 9692080 12115100 15143875 24230200 30287750 48460400 60575500 121151000 242302000