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243112032240 = 2435711131233431
BaseRepresentation
bin1110001001101010011…
…0110011011111110000
3212020111220011211200020
43202122212303133300
512440343140012430
6303403434323440
723364354115050
oct3423246633760
9766456154606
10243112032240
119411544a110
123b149889580
1319c0505031c
14baa3ad9560
1564cd27eb10
hex389a9b37f0

243112032240 has 640 divisors, whose sum is σ = 953054429184. Its totient is φ = 49800192000.

The previous prime is 243112032239. The next prime is 243112032271. The reversal of 243112032240 is 42230211342.

It is a happy number.

243112032240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 243112032240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 564064825 + ... + 564065255.

Almost surely, 2243112032240 is an apocalyptic number.

243112032240 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 243112032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476527214592).

243112032240 is an abundant number, since it is smaller than the sum of its proper divisors (709942396944).

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

243112032240 is a wasteful number, since it uses less digits than its factorization.

243112032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 243112032240 its reverse (42230211342), we get a palindrome (285342243582).

The spelling of 243112032240 in words is "two hundred forty-three billion, one hundred twelve million, thirty-two thousand, two hundred forty".