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830816 = 2573709
BaseRepresentation
bin11001010110101100000
31120012122222
43022311200
5203041231
625450212
710030130
oct3126540
91505588
10830816
11518228
12340968
1323120c
14178ac0
1511627b
hexcad60

830816 has 24 divisors (see below), whose sum is σ = 1869840. Its totient is φ = 355968.

The previous prime is 830801. The next prime is 830827. The reversal of 830816 is 618038.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 830816.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1631 + ... + 2078.

It is an arithmetic number, because the mean of its divisors is an integer number (77910).

2830816 is an apocalyptic number.

It is an amenable number.

830816 is an abundant number, since it is smaller than the sum of its proper divisors (1039024).

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

830816 is a wasteful number, since it uses less digits than its factorization.

830816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3726 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 830816 is about 911.4910860782. The cubic root of 830816 is about 94.0087512601.

The spelling of 830816 in words is "eight hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 3709 7418 14836 25963 29672 51926 59344 103852 118688 207704 415408 830816