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242443400 = 23526012017
BaseRepresentation
bin11100111001101…
…10010010001000
3121220012101211012
432130312102020
5444031142100
640020223052
76002510033
oct1634662210
9556171735
10242443400
11114942351
126923aa88
133b2c8044
14242b001a
1516440135
hexe736488

242443400 has 48 divisors (see below), whose sum is σ = 564898740. Its totient is φ = 96768000.

The previous prime is 242443379. The next prime is 242443427. The reversal of 242443400 is 4344242.

It can be written as a sum of positive squares in 6 ways, for example, as 176411524 + 66031876 = 13282^2 + 8126^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 119192 + ... + 121208.

Almost surely, 2242443400 is an apocalyptic number.

242443400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242443400 is an abundant number, since it is smaller than the sum of its proper divisors (322455340).

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

242443400 is a wasteful number, since it uses less digits than its factorization.

242443400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 242443400 is about 15570.5940798673. The cubic root of 242443400 is about 623.5483322008.

Adding to 242443400 its reverse (4344242), we get a palindrome (246787642).

The spelling of 242443400 in words is "two hundred forty-two million, four hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 601 1202 2017 2404 3005 4034 4808 6010 8068 10085 12020 15025 16136 20170 24040 30050 40340 50425 60100 80680 100850 120200 201700 403400 1212217 2424434 4848868 6061085 9697736 12122170 24244340 30305425 48488680 60610850 121221700 242443400