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830784440 = 235137151603
BaseRepresentation
bin110001100001001…
…100001110111000
32010220021020000002
4301201030032320
53200140100230
6214234332132
726405360033
oct6141141670
92126236002
10830784440
11396a57712
121b228a048
13103170c35
147c4a001a
154ce08545
hex3184c3b8

830784440 has 32 divisors (see below), whose sum is σ = 1882921680. Its totient is φ = 329885952.

The previous prime is 830784439. The next prime is 830784503. The reversal of 830784440 is 44487038.

It is a super-2 number, since 2×8307844402 = 1380405571492227200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 830784394 and 830784403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70322 + ... + 81281.

Almost surely, 2830784440 is an apocalyptic number.

It is an amenable number.

830784440 is an abundant number, since it is smaller than the sum of its proper divisors (1052137240).

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

830784440 is a wasteful number, since it uses less digits than its factorization.

830784440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151751 (or 151747 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The square root of 830784440 is about 28823.3315215296. The cubic root of 830784440 is about 940.0756088270.

The spelling of 830784440 in words is "eight hundred thirty million, seven hundred eighty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 137 274 548 685 1096 1370 2740 5480 151603 303206 606412 758015 1212824 1516030 3032060 6064120 20769611 41539222 83078444 103848055 166156888 207696110 415392220 830784440