Search a number
-
+
328273422300 = 22345247862289
BaseRepresentation
bin1001100011011101001…
…11101110011111011100
31011101022221100200210000
410301232213232133130
520334300444003200
6410450130414300
732500631023065
oct4615647563734
91141287320700
10328273422300
11117246874a0a
1253756131390
1324c575a00a5
1411c6214756c
158814934300
hex4c6e9ee7dc

328273422300 has 180 divisors, whose sum is σ = 1086775129440. Its totient is φ = 85676935680.

The previous prime is 328273422289. The next prime is 328273422311. The reversal of 328273422300 is 3224372823.

328273422300 is a `hidden beast` number, since 3 + 2 + 8 + 2 + 7 + 342 + 2 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (328273422289) and next prime (328273422311).

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 50445 + ... + 811844.

It is an arithmetic number, because the mean of its divisors is an integer number (6037639608).

Almost surely, 2328273422300 is an apocalyptic number.

328273422300 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 328273422300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543387564720).

328273422300 is an abundant number, since it is smaller than the sum of its proper divisors (758501707140).

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

328273422300 is a wasteful number, since it uses less digits than its factorization.

328273422300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862362 (or 862346 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 328273422300 in words is "three hundred twenty-eight billion, two hundred seventy-three million, four hundred twenty-two thousand, three hundred".