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834441020 = 225737413929
BaseRepresentation
bin110001101111001…
…000111100111100
32011011010222212222
4301233020330330
53202104103040
6214444544512
726451426440
oct6157107474
92134128788
10834441020
11399024986
121b3552138
13103b513aa
147cb72820
154d3cbbb5
hex31bc8f3c

834441020 has 96 divisors (see below), whose sum is σ = 2107486080. Its totient is φ = 271503360.

The previous prime is 834441019. The next prime is 834441037. The reversal of 834441020 is 20144438.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210416 + ... + 214344.

It is an arithmetic number, because the mean of its divisors is an integer number (21952980).

Almost surely, 2834441020 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 834441020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053743040).

834441020 is an abundant number, since it is smaller than the sum of its proper divisors (1273045060).

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

834441020 is a wasteful number, since it uses less digits than its factorization.

834441020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4023 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 834441020 is about 28886.6927840485. The cubic root of 834441020 is about 941.4527935025.

Adding to 834441020 its reverse (20144438), we get a palindrome (854585458).

The spelling of 834441020 in words is "eight hundred thirty-four million, four hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 41 70 74 82 140 148 164 185 205 259 287 370 410 518 574 740 820 1036 1148 1295 1435 1517 2590 2870 3034 3929 5180 5740 6068 7585 7858 10619 15170 15716 19645 21238 27503 30340 39290 42476 53095 55006 78580 106190 110012 137515 145373 161089 212380 275030 290746 322178 550060 581492 644356 726865 805445 1017611 1127623 1453730 1610890 2035222 2255246 2907460 3221780 4070444 4510492 5088055 5638115 5960293 10176110 11276230 11920586 20352220 22552460 23841172 29801465 41722051 59602930 83444102 119205860 166888204 208610255 417220510 834441020