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243606042 = 2352511997
BaseRepresentation
bin11101000010100…
…10001000011010
3121222101110200000
432201102020122
5444330343132
640101153430
76015421461
oct1641221032
9558343600
10243606042
11115566909
12696bb876
133b6142b4
14244d39d8
15165be87c
hexe85221a

243606042 has 48 divisors (see below), whose sum is σ = 549817632. Its totient is φ = 80838000.

The previous prime is 243606017. The next prime is 243606043. The reversal of 243606042 is 240606342.

243606042 is a `hidden beast` number, since 24 + 36 + 0 + 604 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 243605997 and 243606015.

It is not an unprimeable number, because it can be changed into a prime (243606043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120988 + ... + 122984.

It is an arithmetic number, because the mean of its divisors is an integer number (11454534).

Almost surely, 2243606042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243606042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274908816).

243606042 is an abundant number, since it is smaller than the sum of its proper divisors (306211590).

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

243606042 is a wasteful number, since it uses less digits than its factorization.

243606042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 243606042 is about 15607.8839693278. The cubic root of 243606042 is about 624.5434891444.

The spelling of 243606042 in words is "two hundred forty-three million, six hundred six thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 251 486 502 753 1506 1997 2259 3994 4518 5991 6777 11982 13554 17973 20331 35946 40662 53919 60993 107838 121986 161757 323514 485271 501247 970542 1002494 1503741 3007482 4511223 9022446 13533669 27067338 40601007 81202014 121803021 243606042