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10834284 = 22329163191
BaseRepresentation
bin101001010101…
…000101101100
3202101102211210
4221111011230
510233144114
61024114420
7161042556
oct51250554
922342753
1010834284
11612aa5a
123765a10
132324526
1416204d6
15e40259
hexa5516c

10834284 has 48 divisors (see below), whose sum is σ = 26449920. Its totient is φ = 3447360.

The previous prime is 10834279. The next prime is 10834319. The reversal of 10834284 is 48243801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56629 + ... + 56819.

It is an arithmetic number, because the mean of its divisors is an integer number (551040).

Almost surely, 210834284 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 10834284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13224960).

10834284 is an abundant number, since it is smaller than the sum of its proper divisors (15615636).

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

10834284 is a wasteful number, since it uses less digits than its factorization.

10834284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 10834284 is about 3291.5473564875. The cubic root of 10834284 is about 221.2755379248.

The spelling of 10834284 in words is "ten million, eight hundred thirty-four thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 163 174 191 326 348 382 489 573 652 764 978 1146 1956 2292 4727 5539 9454 11078 14181 16617 18908 22156 28362 31133 33234 56724 62266 66468 93399 124532 186798 373596 902857 1805714 2708571 3611428 5417142 10834284