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243474432 = 21339907
BaseRepresentation
bin11101000001100…
…10000000000000
3121222010210010120
432200302000000
5444312140212
640054300240
76014332665
oct1640620000
9558123116
10243474432
11115486a43
1269657680
133b599416
142449ba6c
151659588c
hexe832000

243474432 has 56 divisors (see below), whose sum is σ = 649291056. Its totient is φ = 81149952.

The previous prime is 243474431. The next prime is 243474437. The reversal of 243474432 is 234474342.

It is a happy number.

243474432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 243474393 and 243474402.

It is not an unprimeable number, because it can be changed into a prime (243474431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19623 + ... + 29529.

Almost surely, 2243474432 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 243474432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324645528).

243474432 is an abundant number, since it is smaller than the sum of its proper divisors (405816624).

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

243474432 is an frugal number, since it uses more digits than its factorization.

243474432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9936 (or 9912 counting only the distinct ones).

The product of its digits is 64512, while the sum is 33.

The square root of 243474432 is about 15603.6672612562. The cubic root of 243474432 is about 624.4309974416.

The spelling of 243474432 in words is "two hundred forty-three million, four hundred seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 9907 12288 19814 24576 29721 39628 59442 79256 118884 158512 237768 317024 475536 634048 951072 1268096 1902144 2536192 3804288 5072384 7608576 10144768 15217152 20289536 30434304 40579072 60868608 81158144 121737216 243474432