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243342000 = 243253111229
BaseRepresentation
bin11101000000100…
…01101010110000
3121221220001110200
432200101222300
5444243421000
640051355200
76013241616
oct1640215260
9557801420
10243342000
111153a64a0
12695b2b00
133b551065
14244656b6
151656b500
hexe811ab0

243342000 has 240 divisors, whose sum is σ = 927931680. Its totient is φ = 58944000.

The previous prime is 243341981. The next prime is 243342013. The reversal of 243342000 is 243342.

243342000 is a `hidden beast` number, since 243 + 3 + 420 + 0 + 0 = 666.

243342000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 197386 + ... + 198614.

It is an arithmetic number, because the mean of its divisors is an integer number (3866382).

Almost surely, 2243342000 is an apocalyptic number.

243342000 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 243342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463965840).

243342000 is an abundant number, since it is smaller than the sum of its proper divisors (684589680).

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

243342000 is a wasteful number, since it uses less digits than its factorization.

243342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 243342000 is about 15599.4230662547. The cubic root of 243342000 is about 624.3177622202.

Adding to 243342000 its reverse (243342), we get a palindrome (243585342).

243342000 divided by its reverse (243342) gives a cube (1000 = 103).

It can be divided in two parts, 243 and 342000, that added together give a palindrome (342243).

The spelling of 243342000 in words is "two hundred forty-three million, three hundred forty-two thousand".