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21344112 = 2432178719
BaseRepresentation
bin101000101101…
…0111101110000
31111011101121200
41101122331300
520431002422
62041251200
7346264506
oct121327560
944141550
1021344112
1111059169
127193b00
13456416a
142b98676
151d192ac
hex145af70

21344112 has 60 divisors (see below), whose sum is σ = 63254880. Its totient is φ = 6695424.

The previous prime is 21344093. The next prime is 21344117. The reversal of 21344112 is 21144312.

21344112 is a `hidden beast` number, since 213 + 441 + 12 = 666.

It is a super-2 number, since 2×213441122 = 911142234137088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21344117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1912 + ... + 6807.

It is an arithmetic number, because the mean of its divisors is an integer number (1054248).

Almost surely, 221344112 is an apocalyptic number.

It is an amenable number.

21344112 is an abundant number, since it is smaller than the sum of its proper divisors (41910768).

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

21344112 is a wasteful number, since it uses less digits than its factorization.

21344112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8750 (or 8741 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 21344112 is about 4619.9688310637. The cubic root of 21344112 is about 277.3912113137.

Adding to 21344112 its reverse (21144312), we get a palindrome (42488424).

The spelling of 21344112 in words is "twenty-one million, three hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 8719 17438 26157 34876 52314 69752 78471 104628 139504 148223 156942 209256 296446 313884 418512 444669 592892 627768 889338 1185784 1255536 1334007 1778676 2371568 2668014 3557352 5336028 7114704 10672056 21344112