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830385 = 3356151
BaseRepresentation
bin11001010101110110001
31120012002000
43022232301
5203033020
625444213
710025643
oct3125661
91505060
10830385
11517976
12340669
13230c6a
14178893
15116090
hexcabb1

830385 has 16 divisors (see below), whose sum is σ = 1476480. Its totient is φ = 442800.

The previous prime is 830383. The next prime is 830387. The reversal of 830385 is 583038.

It is an interprime number because it is at equal distance from previous prime (830383) and next prime (830387).

It is not a de Polignac number, because 830385 - 21 = 830383 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

830385 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (830383) 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 15 ways as a sum of consecutive naturals, for example, 2941 + ... + 3210.

It is an arithmetic number, because the mean of its divisors is an integer number (92280).

2830385 is an apocalyptic number.

It is an amenable number.

830385 is a deficient number, since it is larger than the sum of its proper divisors (646095).

830385 is a wasteful number, since it uses less digits than its factorization.

830385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6165 (or 6159 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 830385 is about 911.2546296179. The cubic root of 830385 is about 93.9924922327.

The spelling of 830385 in words is "eight hundred thirty thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 135 6151 18453 30755 55359 92265 166077 276795 830385