Search a number
-
+
243330064740 = 223357174780567
BaseRepresentation
bin1110001010011110011…
…0100010000101100100
3212021002002110001001000
43202213212202011210
512441314444032430
6303441223433300
723402642265240
oct3424746420544
9767062401030
10243330064740
1194217529164
123b1aa8b5830
1319c3b27c339
14bac4a53420
1564e249be60
hex38a79a2164

243330064740 has 384 divisors, whose sum is σ = 935568506880. Its totient is φ = 51232241664.

The previous prime is 243330064727. The next prime is 243330064751. The reversal of 243330064740 is 47460033342.

243330064740 is a `hidden beast` number, since 2 + 4 + 3 + 3 + 3 + 0 + 0 + 647 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 243330064695 and 243330064704.

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, 2979937 + ... + 3060503.

It is an arithmetic number, because the mean of its divisors is an integer number (2436376320).

Almost surely, 2243330064740 is an apocalyptic number.

243330064740 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 243330064740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467784253440).

243330064740 is an abundant number, since it is smaller than the sum of its proper divisors (692238442140).

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

243330064740 is a wasteful number, since it uses less digits than its factorization.

243330064740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80656 (or 80648 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The spelling of 243330064740 in words is "two hundred forty-three billion, three hundred thirty million, sixty-four thousand, seven hundred forty".