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243016020 = 22325131741149
BaseRepresentation
bin11100111110000…
…10000101010100
3121221021111022100
432133002011110
5444203003040
640040402100
76010413342
oct1637020524
9557244270
10243016020
111151a3595
1269476330
133b468880
14243bc992
1516504b30
hexe7c2154

243016020 has 288 divisors, whose sum is σ = 866829600. Its totient is φ = 54558720.

The previous prime is 243016019. The next prime is 243016043. The reversal of 243016020 is 20610342.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 174556944 + 68459076 = 13212^2 + 8274^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 243015984 and 243016002.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1630906 + ... + 1631054.

It is an arithmetic number, because the mean of its divisors is an integer number (3009825).

Almost surely, 2243016020 is an apocalyptic number.

243016020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243016020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433414800).

243016020 is an abundant number, since it is smaller than the sum of its proper divisors (623813580).

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

243016020 is a wasteful number, since it uses less digits than its factorization.

243016020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 243016020 is about 15588.9711013909. The cubic root of 243016020 is about 624.0388597594.

Adding to 243016020 its reverse (20610342), we get a palindrome (263626362).

The spelling of 243016020 in words is "two hundred forty-three million, sixteen thousand, twenty".