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834236820 = 223451313931
BaseRepresentation
bin110001101110010…
…111000110010100
32011010202121210000
4301232113012110
53202031034240
6214440331300
726446616214
oct6156270624
92133677700
10834236820
113989a551a
121b3473b30
13103aac471
147cb1c244
154d38b430
hex31b97194

834236820 has 120 divisors (see below), whose sum is σ = 2637679968. Its totient is φ = 220708800.

The previous prime is 834236807. The next prime is 834236827. The reversal of 834236820 is 28632438.

834236820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834236827) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 210255 + ... + 214185.

Almost surely, 2834236820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834236820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318839984).

834236820 is an abundant number, since it is smaller than the sum of its proper divisors (1803443148).

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

834236820 is a wasteful number, since it uses less digits than its factorization.

834236820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 834236820 is about 28883.1580683276. The cubic root of 834236820 is about 941.3759914519.

The spelling of 834236820 in words is "eight hundred thirty-four million, two hundred thirty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 131 135 162 180 262 270 324 393 405 524 540 655 786 810 1179 1310 1572 1620 1965 2358 2620 3537 3930 3931 4716 5895 7074 7860 7862 10611 11790 11793 14148 15724 17685 19655 21222 23580 23586 35370 35379 39310 42444 47172 53055 58965 70740 70758 78620 106110 106137 117930 141516 176895 212220 212274 235860 318411 353790 424548 514961 530685 636822 707580 1029922 1061370 1273644 1544883 1592055 2059844 2122740 2574805 3089766 3184110 4634649 5149610 6179532 6368220 7724415 9269298 10299220 13903947 15448830 18538596 23173245 27807894 30897660 41711841 46346490 55615788 69519735 83423682 92692980 139039470 166847364 208559205 278078940 417118410 834236820