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3128328 = 233372069
BaseRepresentation
bin1011111011110000001000
312212221021000
423323300020
51300101303
6151015000
735406330
oct13736010
95787230
103128328
1118473a5
12106a460
13856ba8
145b60c0
1541bda3
hex2fbc08

3128328 has 64 divisors (see below), whose sum is σ = 9936000. Its totient is φ = 893376.

The previous prime is 3128311. The next prime is 3128329. The reversal of 3128328 is 8238213.

3128328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3128329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478 + ... + 2546.

It is an arithmetic number, because the mean of its divisors is an integer number (155250).

Almost surely, 23128328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3128328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4968000).

3128328 is an abundant number, since it is smaller than the sum of its proper divisors (6807672).

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

3128328 is a wasteful number, since it uses less digits than its factorization.

3128328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2081 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 3128328 is about 1768.7080030350. The cubic root of 3128328 is about 146.2527678635.

The spelling of 3128328 in words is "three million, one hundred twenty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 2069 4138 6207 8276 12414 14483 16552 18621 24828 28966 37242 43449 49656 55863 57932 74484 86898 111726 115864 130347 148968 173796 223452 260694 347592 391041 446904 521388 782082 1042776 1564164 3128328