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243273372342 = 2371113891992287
BaseRepresentation
bin1110001010010000111…
…0010001001010110110
3212020221010202202200120
43202210032101022312
512441210440403332
6303431440352410
723401353355260
oct3424416211266
9766833682616
10243273372342
1194198527340
123b193915706
1319c2c5bca40
14babb2d6b30
1564dc4ee32c
hex38a43912b6

243273372342 has 256 divisors, whose sum is σ = 664215552000. Its totient is φ = 57357020160.

The previous prime is 243273372317. The next prime is 243273372379.

243273372342 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 243273372294 and 243273372303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106371123 + ... + 106373409.

It is an arithmetic number, because the mean of its divisors is an integer number (2594592000).

Almost surely, 2243273372342 is an apocalyptic number.

243273372342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 243273372342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332107776000).

243273372342 is an abundant number, since it is smaller than the sum of its proper divisors (420942179658).

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

243273372342 is a wasteful number, since it uses less digits than its factorization.

243273372342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611.

The product of its digits is 1016064, while the sum is 42.

The spelling of 243273372342 in words is "two hundred forty-three billion, two hundred seventy-three million, three hundred seventy-two thousand, three hundred forty-two".