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21431344 = 2411263463
BaseRepresentation
bin101000111000…
…0010000110000
31111022211021111
41101300100300
520441300334
62043203104
7350110024
oct121602060
944284244
1021431344
1111108760
127216494
134594a8c
142bbc384
151d35064
hex1470430

21431344 has 40 divisors (see below), whose sum is σ = 45568512. Its totient is φ = 9683520.

The previous prime is 21431341. The next prime is 21431353. The reversal of 21431344 is 44313412.

21431344 = T265 + T266 + ... + T527.

It is a super-4 number, since 4×214313444 (a number of 30 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (21431341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46057 + ... + 46519.

Almost surely, 221431344 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 21431344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22784256).

21431344 is an abundant number, since it is smaller than the sum of its proper divisors (24137168).

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

21431344 is a wasteful number, since it uses less digits than its factorization.

21431344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 739 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 21431344 is about 4629.3999611181. The cubic root of 21431344 is about 277.7685909614.

Adding to 21431344 its reverse (44313412), we get a palindrome (65744756).

The spelling of 21431344 in words is "twenty-one million, four hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 263 463 526 926 1052 1852 2104 2893 3704 4208 5093 5786 7408 10186 11572 20372 23144 40744 46288 81488 121769 243538 487076 974152 1339459 1948304 2678918 5357836 10715672 21431344