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21344000240 = 245266800003
BaseRepresentation
bin10011111000001100…
…111001100011110000
32001002111111112222102
4103320030321203300
5322203031001430
613445535555532
71353632002643
oct237014714360
961074445872
1021344000240
11906314a322
12417808bba8
132021c7a154
1410669bba5a
1584dc4d345
hex4f83398f0

21344000240 has 20 divisors (see below), whose sum is σ = 49624800744. Its totient is φ = 8537600064.

The previous prime is 21344000239. The next prime is 21344000273. The reversal of 21344000240 is 4200044312.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 133399922 + ... + 133400081.

Almost surely, 221344000240 is an apocalyptic number.

21344000240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21344000240 is an abundant number, since it is smaller than the sum of its proper divisors (28280800504).

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

21344000240 is a wasteful number, since it uses less digits than its factorization.

21344000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266800016 (or 266800010 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 21344000240 its reverse (4200044312), we get a palindrome (25544044552).

The spelling of 21344000240 in words is "twenty-one billion, three hundred forty-four million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 40 80 266800003 533600006 1067200012 1334000015 2134400024 2668000030 4268800048 5336000060 10672000120 21344000240