Search a number
-
+
328110940080 = 243357112936733
BaseRepresentation
bin1001100011001001110…
…11111001111110110000
31011100220121121202002000
410301210323321332300
520333432400040310
6410422044054000
732463615655020
oct4614473717660
91140817552060
10328110940080
11117173087690
125370b834300
1324c2ca20871
1411c4872da80
15880553b4c0
hex4c64ef9fb0

328110940080 has 640 divisors, whose sum is σ = 1414049495040. Its totient is φ = 67936112640.

The previous prime is 328110940037. The next prime is 328110940111. The reversal of 328110940080 is 80049011823.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48728394 + ... + 48735126.

It is an arithmetic number, because the mean of its divisors is an integer number (2209452336).

Almost surely, 2328110940080 is an apocalyptic number.

328110940080 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 328110940080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707024747520).

328110940080 is an abundant number, since it is smaller than the sum of its proper divisors (1085938554960).

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

328110940080 is a wasteful number, since it uses less digits than its factorization.

328110940080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7066 (or 7054 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 328110940080 in words is "three hundred twenty-eight billion, one hundred ten million, nine hundred forty thousand, eighty".