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830928 = 24372473
BaseRepresentation
bin11001010110111010000
31120012211010
43022313100
5203042203
625450520
710030350
oct3126720
91505733
10830928
1151831a
12340a40
13231297
14178b60
15116303
hexcadd0

830928 has 40 divisors (see below), whose sum is σ = 2454208. Its totient is φ = 237312.

The previous prime is 830923. The next prime is 830939. The reversal of 830928 is 829038.

830928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 830895 and 830904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830923) by changing a digit.

830928 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 7 ways as a sum of consecutive naturals, for example, 901 + ... + 1572.

2830928 is an apocalyptic number.

It is an amenable number.

830928 is an abundant number, since it is smaller than the sum of its proper divisors (1623280).

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

830928 is a wasteful number, since it uses less digits than its factorization.

830928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 830928 is about 911.5525218000. The cubic root of 830928 is about 94.0129754233.

The spelling of 830928 in words is "eight hundred thirty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2473 4946 7419 9892 14838 17311 19784 29676 34622 39568 51933 59352 69244 103866 118704 138488 207732 276976 415464 830928