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243423432 = 233273111553
BaseRepresentation
bin11101000001001…
…01100011001000
3121222001012011200
432200211203020
5444304022212
640053224200
76014031210
oct1640454310
9558035150
10243423432
1111545169a
1269632060
133b57c145
1424487240
15165856dc
hexe8258c8

243423432 has 96 divisors (see below), whose sum is σ = 756362880. Its totient is φ = 69281280.

The previous prime is 243423431. The next prime is 243423449. The reversal of 243423432 is 234324342.

243423432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 243423396 and 243423405.

It is not an unprimeable number, because it can be changed into a prime (243423431) 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, 155968 + ... + 157520.

It is an arithmetic number, because the mean of its divisors is an integer number (7878780).

Almost surely, 2243423432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243423432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378181440).

243423432 is an abundant number, since it is smaller than the sum of its proper divisors (512939448).

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

243423432 is a wasteful number, since it uses less digits than its factorization.

243423432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1876 counting only the distinct ones).

The product of its digits is 13824, while the sum is 27.

The square root of 243423432 is about 15602.0329444595. The cubic root of 243423432 is about 624.3873950471.

Adding to 243423432 its reverse (234324342), we get a palindrome (477747774).

The spelling of 243423432 in words is "two hundred forty-three million, four hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 311 504 622 933 1244 1553 1866 2177 2488 2799 3106 3732 4354 4659 5598 6212 6531 7464 8708 9318 10871 11196 12424 13062 13977 17416 18636 19593 21742 22392 26124 27954 32613 37272 39186 43484 52248 55908 65226 78372 86968 97839 111816 130452 156744 195678 260904 391356 482983 782712 965966 1448949 1931932 2897898 3380881 3863864 4346847 5795796 6761762 8693694 10142643 11591592 13523524 17387388 20285286 27047048 30427929 34774776 40570572 60855858 81141144 121711716 243423432