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21834834 = 2371753577
BaseRepresentation
bin101001101001…
…0110001010010
31112002022202120
41103102301102
521042203314
62055555110
7353410260
oct123226122
945068676
1021834834
111136391a
12738ba96
1346a6628
142c85430
151db48a9
hex14d2c52

21834834 has 64 divisors (see below), whose sum is σ = 53934336. Its totient is φ = 5750784.

The previous prime is 21834833. The next prime is 21834859. The reversal of 21834834 is 43843812.

It is a junction number, because it is equal to n+sod(n) for n = 21834795 and 21834804.

It is not an unprimeable number, because it can be changed into a prime (21834833) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 37554 + ... + 38130.

It is an arithmetic number, because the mean of its divisors is an integer number (842724).

Almost surely, 221834834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21834834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26967168).

21834834 is an abundant number, since it is smaller than the sum of its proper divisors (32099502).

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

21834834 is a wasteful number, since it uses less digits than its factorization.

21834834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659.

The product of its digits is 18432, while the sum is 33.

The square root of 21834834 is about 4672.7758345549. The cubic root of 21834834 is about 279.5009563215.

The spelling of 21834834 in words is "twenty-one million, eight hundred thirty-four thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 53 102 106 119 159 238 318 357 371 577 714 742 901 1113 1154 1731 1802 2226 2703 3462 4039 5406 6307 8078 9809 12117 12614 18921 19618 24234 29427 30581 37842 58854 61162 68663 91743 137326 183486 205989 214067 411978 428134 519877 642201 1039754 1284402 1559631 3119262 3639139 7278278 10917417 21834834