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20344384 = 261272503
BaseRepresentation
bin100110110011…
…0111001000000
31102021121020201
41031212321000
520202010014
62004014544
7334632034
oct115467100
942247221
1020344384
1110536045
126991454
1342a40c8
1429b81c4
151bbce74
hex1366e40

20344384 has 28 divisors (see below), whose sum is σ = 40705024. Its totient is φ = 10088064.

The previous prime is 20344369. The next prime is 20344403. The reversal of 20344384 is 48344302.

20344384 = T361 + T362 + ... + T552.

20344384 is an admirable number.

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 3 ways as a sum of consecutive naturals, for example, 6877 + ... + 9379.

Almost surely, 220344384 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 20344384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20352512).

20344384 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

20344384 is a wasteful number, since it uses less digits than its factorization.

20344384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 20344384 is about 4510.4749195622. The cubic root of 20344384 is about 272.9909070397.

Adding to 20344384 its reverse (48344302), we get a palindrome (68688686).

The spelling of 20344384 in words is "twenty million, three hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 127 254 508 1016 2032 2503 4064 5006 8128 10012 20024 40048 80096 160192 317881 635762 1271524 2543048 5086096 10172192 20344384