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830638296 = 233211536643
BaseRepresentation
bin110001100000101…
…000100011011000
32010212222210112100
4301200220203120
53200120411141
6214231243400
726404210665
oct6140504330
92125883470
10830638296
11396967934
121b2219560
1310311c567
147c462a6c
154cdca0b6
hex318288d8

830638296 has 24 divisors (see below), whose sum is σ = 2249645580. Its totient is φ = 276879408.

The previous prime is 830638279. The next prime is 830638297. The reversal of 830638296 is 692836038.

830638296 is a `hidden beast` number, since 8 + 3 + 0 + 638 + 2 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830638297) 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 5 ways as a sum of consecutive naturals, for example, 5768250 + ... + 5768393.

Almost surely, 2830638296 is an apocalyptic number.

It is an amenable number.

830638296 is an abundant number, since it is smaller than the sum of its proper divisors (1419007284).

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

830638296 is a wasteful number, since it uses less digits than its factorization.

830638296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11536655 (or 11536648 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 830638296 is about 28820.7962416030. The cubic root of 830638296 is about 940.0204824268.

The spelling of 830638296 in words is "eight hundred thirty million, six hundred thirty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 11536643 23073286 34609929 46146572 69219858 92293144 103829787 138439716 207659574 276879432 415319148 830638296