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20161344 = 263722143
BaseRepresentation
bin100110011101…
…0001101000000
31101221022011110
41030322031000
520130130334
62000043320
7333240300
oct114721500
941838143
1020161344
1110420575
126903540
13423b9b8
14296b600
151b83ae9
hex133a340

20161344 has 84 divisors (see below), whose sum is σ = 62081664. Its totient is φ = 5757696.

The previous prime is 20161343. The next prime is 20161397. The reversal of 20161344 is 44316102.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 20161344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20161343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8337 + ... + 10479.

Almost surely, 220161344 is an apocalyptic number.

20161344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20161344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31040832).

20161344 is an abundant number, since it is smaller than the sum of its proper divisors (41920320).

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

20161344 is a wasteful number, since it uses less digits than its factorization.

20161344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 20161344 is about 4490.1385279298. The cubic root of 20161344 is about 272.1697325856.

Adding to 20161344 its reverse (44316102), we get a palindrome (64477446).

The spelling of 20161344 in words is "twenty million, one hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2143 2352 3136 4286 4704 6429 8572 9408 12858 15001 17144 25716 30002 34288 45003 51432 60004 68576 90006 102864 105007 120008 137152 180012 205728 210014 240016 315021 360024 411456 420028 480032 630042 720048 840056 960064 1260084 1440096 1680112 2520168 2880192 3360224 5040336 6720448 10080672 20161344