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831328 = 2583313
BaseRepresentation
bin11001010111101100000
31120020100221
43022331200
5203100303
625452424
710031461
oct3127540
91506327
10831328
11518653
12341114
13231514
14178d68
151164bd
hexcaf60

831328 has 24 divisors (see below), whose sum is σ = 1661688. Its totient is φ = 409344.

The previous prime is 831323. The next prime is 831329. The reversal of 831328 is 823138.

831328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8313282 = 1382212487168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (831323) by changing a digit.

831328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2500 + ... + 2812.

It is an arithmetic number, because the mean of its divisors is an integer number (69237).

2831328 is an apocalyptic number.

It is an amenable number.

831328 is a deficient number, since it is larger than the sum of its proper divisors (830360).

831328 is a wasteful number, since it uses less digits than its factorization.

831328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 398 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 831328 is about 911.7719012999. The cubic root of 831328 is about 94.0280586224.

It can be divided in two parts, 83 and 1328, that multiplied together give a square (110224 = 3322).

The spelling of 831328 in words is "eight hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 83 166 313 332 626 664 1252 1328 2504 2656 5008 10016 25979 51958 103916 207832 415664 831328