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1382328 = 233273263
BaseRepresentation
bin101010001011110111000
32121020012100
411101132320
5323213303
645343400
714515053
oct5213670
92536170
101382328
11864622
12567b60
1339525c
1427da9a
151c48a3
hex1517b8

1382328 has 48 divisors (see below), whose sum is σ = 3809520. Its totient is φ = 452736.

The previous prime is 1382327. The next prime is 1382393. The reversal of 1382328 is 8232831.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382327) 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 11 ways as a sum of consecutive naturals, for example, 5125 + ... + 5387.

It is an arithmetic number, because the mean of its divisors is an integer number (79365).

21382328 is an apocalyptic number.

1382328 is a gapful number since it is divisible by the number (18) 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 1382328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904760).

1382328 is an abundant number, since it is smaller than the sum of its proper divisors (2427192).

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

1382328 is a wasteful number, since it uses less digits than its factorization.

1382328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 341 counting only the distinct ones).

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

The square root of 1382328 is about 1175.7244575155. The cubic root of 1382328 is about 111.3961979778.

The spelling of 1382328 in words is "one million, three hundred eighty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 263 292 438 526 584 657 789 876 1052 1314 1578 1752 2104 2367 2628 3156 4734 5256 6312 9468 18936 19199 38398 57597 76796 115194 153592 172791 230388 345582 460776 691164 1382328