Search a number
-
+
330880197312 = 26327231794787
BaseRepresentation
bin1001101000010011111…
…11110010001011000000
31011122001121110120211200
410310021333302023000
520410120312303222
6412000530541200
732622343162200
oct4641177621300
91148047416750
10330880197312
11118364277625
1254163137800
1325281675a02
141202c430400
158918701eac
hex4d09ff22c0

330880197312 has 504 divisors, whose sum is σ = 1153495848960. Its totient is φ = 90310671360.

The previous prime is 330880197301. The next prime is 330880197359. The reversal of 330880197312 is 213791088033.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69118183 + ... + 69122969.

It is an arithmetic number, because the mean of its divisors is an integer number (2288682240).

Almost surely, 2330880197312 is an apocalyptic number.

330880197312 is a gapful number since it is divisible by the number (32) 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 330880197312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576747924480).

330880197312 is an abundant number, since it is smaller than the sum of its proper divisors (822615651648).

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

330880197312 is a wasteful number, since it uses less digits than its factorization.

330880197312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4929 (or 4909 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 330880197312 in words is "three hundred thirty billion, eight hundred eighty million, one hundred ninety-seven thousand, three hundred twelve".