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830092333 = 72347163673
BaseRepresentation
bin110001011110100…
…011010000101101
32010211222001121111
4301132203100231
53200000423313
6214211432021
726366445160
oct6136432055
92124861544
10830092333
11396624724
121b1bb5611
13102c8abc5
147c35dad7
154cd1d43d
hex317a342d

830092333 has 32 divisors (see below), whose sum is σ = 1018699776. Its totient is φ = 661022208.

The previous prime is 830092327. The next prime is 830092429. The reversal of 830092333 is 333290038.

830092333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 830092333 - 217 = 829961261 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 830092295 and 830092304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830092313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1233085 + ... + 1233757.

It is an arithmetic number, because the mean of its divisors is an integer number (31834368).

Almost surely, 2830092333 is an apocalyptic number.

It is an amenable number.

830092333 is a deficient number, since it is larger than the sum of its proper divisors (188607443).

830092333 is a wasteful number, since it uses less digits than its factorization.

830092333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913.

The product of its (nonzero) digits is 11664, while the sum is 31.

The square root of 830092333 is about 28811.3229998207. The cubic root of 830092333 is about 939.8144846663.

The spelling of 830092333 in words is "eight hundred thirty million, ninety-two thousand, three hundred thirty-three".

Divisors: 1 7 23 47 161 163 329 673 1081 1141 3749 4711 7567 7661 15479 26243 31631 53627 108353 109699 176203 221417 727513 767893 1233421 2523077 5092591 5155853 17661539 36090971 118584619 830092333