Search a number
-
+
328409265780 = 2236572730983
BaseRepresentation
bin1001100011101101011…
…01111011011001110100
31011101200101222021000000
410301312231323121310
520340040233001110
6410511422151300
732504200462161
oct4616655733164
91141611867000
10328409265780
11117306518152
1253793722530
1324c7978354b
1411c761c9068
1588218191c0
hex4c76b7b674

328409265780 has 168 divisors, whose sum is σ = 1035471894912. Its totient is φ = 87452519616.

The previous prime is 328409265763. The next prime is 328409265799. The reversal of 328409265780 is 87562904823.

328409265780 is a `hidden beast` number, since 3 + 2 + 8 + 40 + 9 + 26 + 578 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10584169 + ... + 10615151.

It is an arithmetic number, because the mean of its divisors is an integer number (6163523184).

Almost surely, 2328409265780 is an apocalyptic number.

328409265780 is a gapful number since it is divisible by the number (30) 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 328409265780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517735947456).

328409265780 is an abundant number, since it is smaller than the sum of its proper divisors (707062629132).

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

328409265780 is a wasteful number, since it uses less digits than its factorization.

328409265780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31737 (or 31720 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 328409265780 in words is "three hundred twenty-eight billion, four hundred nine million, two hundred sixty-five thousand, seven hundred eighty".