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830305 = 5723389
BaseRepresentation
bin11001010101101100001
31120011222001
43022231201
5203032210
625444001
710025500
oct3125541
91504861
10830305
11517903
12340601
13230c08
14178837
1511603a
hexcab61

830305 has 12 divisors (see below), whose sum is σ = 1159380. Its totient is φ = 569184.

The previous prime is 830293. The next prime is 830309. The reversal of 830305 is 503038.

830305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 603729 + 226576 = 777^2 + 476^2 .

It is not a de Polignac number, because 830305 - 27 = 830177 is a prime.

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (830309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1450 + ... + 1939.

It is an arithmetic number, because the mean of its divisors is an integer number (96615).

2830305 is an apocalyptic number.

It is an amenable number.

830305 is a deficient number, since it is larger than the sum of its proper divisors (329075).

830305 is a wasteful number, since it uses less digits than its factorization.

830305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3408 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 830305 is about 911.2107330360. The cubic root of 830305 is about 93.9894736968.

The spelling of 830305 in words is "eight hundred thirty thousand, three hundred five".

Divisors: 1 5 7 35 49 245 3389 16945 23723 118615 166061 830305