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834127740 = 223351981299
BaseRepresentation
bin110001101101111…
…100011101111100
32011010120002011000
4301231330131330
53202014041430
6214434130300
726445653205
oct6155743574
92133502130
10834127740
11398930576
121b3420990
13103a71914
147cad05ac
154d368e60
hex31b7c77c

834127740 has 96 divisors (see below), whose sum is σ = 2731680000. Its totient is φ = 210724416.

The previous prime is 834127703. The next prime is 834127769. The reversal of 834127740 is 47721438.

It is a happy number.

834127740 is a `hidden beast` number, since 8 + 341 + 277 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 834127695 and 834127704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30390 + ... + 50909.

It is an arithmetic number, because the mean of its divisors is an integer number (28455000).

Almost surely, 2834127740 is an apocalyptic number.

It is an amenable number.

834127740 is an abundant number, since it is smaller than the sum of its proper divisors (1897552260).

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

834127740 is a wasteful number, since it uses less digits than its factorization.

834127740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81336 (or 81328 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 834127740 is about 28881.2697089307. The cubic root of 834127740 is about 941.3349600299.

The spelling of 834127740 in words is "eight hundred thirty-four million, one hundred twenty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 81299 162598 243897 325196 406495 487794 731691 812990 975588 1219485 1463382 1544681 1625980 2195073 2438970 2926764 3089362 3658455 4390146 4634043 4877940 6178724 7316910 7723405 8780292 9268086 10975365 13902129 14633820 15446810 18536172 21950730 23170215 27804258 30893620 41706387 43901460 46340430 55608516 69510645 83412774 92680860 139021290 166825548 208531935 278042580 417063870 834127740