Search a number
-
+
243789390900 = 2233521131264787
BaseRepresentation
bin1110001100001011111…
…0101110010000110100
3212022021002202020002000
43203002332232100310
512443240041002100
6303554552415300
723420220426456
oct3430276562064
9768232666060
10243789390900
1194432834760
123b2b86a7530
1319cb2492c73
14bb29a5c2d6
15651c97d900
hex38c2fae434

243789390900 has 288 divisors, whose sum is σ = 882570178560. Its totient is φ = 57193776000.

The previous prime is 243789390847. The next prime is 243789390907. The reversal of 243789390900 is 9093987342.

243789390900 is a `hidden beast` number, since 243 + 7 + 8 + 9 + 390 + 9 + 0 + 0 = 666.

243789390900 is digitally balanced in base 2, 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243789390907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 788307 + ... + 1053093.

Almost surely, 2243789390900 is an apocalyptic number.

243789390900 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 243789390900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441285089280).

243789390900 is an abundant number, since it is smaller than the sum of its proper divisors (638780787660).

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

243789390900 is a wasteful number, since it uses less digits than its factorization.

243789390900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264852 (or 264839 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 243789390900 in words is "two hundred forty-three billion, seven hundred eighty-nine million, three hundred ninety thousand, nine hundred".