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21434144 = 251731241
BaseRepresentation
bin101000111000…
…0111100100000
31111022222010012
41101300330200
520441343034
62043224052
7350121134
oct121607440
944288105
1021434144
111110a876
127218028
134596134
142bbd3c4
151d35cce
hex1470f20

21434144 has 72 divisors (see below), whose sum is σ = 47294604. Its totient is φ = 9523200.

The previous prime is 21434143. The next prime is 21434159. The reversal of 21434144 is 44143412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21049744 + 384400 = 4588^2 + 620^2 .

It is not an unprimeable number, because it can be changed into a prime (21434143) 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, 522764 + ... + 522804.

Almost surely, 221434144 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 21434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23647302).

21434144 is an abundant number, since it is smaller than the sum of its proper divisors (25860460).

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

21434144 is a wasteful number, since it uses less digits than its factorization.

21434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 91 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 21434144 is about 4629.7023662434. The cubic root of 21434144 is about 277.7806872347.

Adding to 21434144 its reverse (44143412), we get a palindrome (65577556).

The spelling of 21434144 in words is "twenty-one million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 31 32 34 41 62 68 82 124 136 164 248 272 328 496 527 544 656 697 961 992 1054 1271 1312 1394 1922 2108 2542 2788 3844 4216 5084 5576 7688 8432 10168 11152 15376 16337 16864 20336 21607 22304 30752 32674 39401 40672 43214 65348 78802 86428 130696 157604 172856 261392 315208 345712 522784 630416 669817 691424 1260832 1339634 2679268 5358536 10717072 21434144