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21344000310 = 2335174650109
BaseRepresentation
bin10011111000001100…
…111001100100110110
32001002111111120002000
4103320030321210312
5322203031002220
613445540000130
71353632003103
oct237014714466
961074446060
1021344000310
11906314a386
124178090046
132021c7a1a9
1410669bbaaa
1584dc4d390
hex4f8339936

21344000310 has 64 divisors (see below), whose sum is σ = 60265425600. Its totient is φ = 5356924416.

The previous prime is 21344000287. The next prime is 21344000369. The reversal of 21344000310 is 1300044312.

21344000310 is a `hidden beast` number, since 213 + 440 + 0 + 0 + 3 + 10 = 666.

It is a super-2 number, since 2×213440003102 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2320465 + ... + 2329644.

It is an arithmetic number, because the mean of its divisors is an integer number (941647275).

Almost surely, 221344000310 is an apocalyptic number.

21344000310 is an abundant number, since it is smaller than the sum of its proper divisors (38921425290).

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

21344000310 is a wasteful number, since it uses less digits than its factorization.

21344000310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4650142 (or 4650136 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21344000310 its reverse (1300044312), we get a palindrome (22644044622).

The spelling of 21344000310 in words is "twenty-one billion, three hundred forty-four million, three hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 4590 4650109 9300218 13950327 23250545 27900654 41850981 46501090 69751635 79051853 83701962 125552943 139503270 158103706 209254905 237155559 251105886 395259265 418509810 474311118 627764715 711466677 790518530 1185777795 1255529430 1422933354 2134400031 2371555590 3557333385 4268800062 7114666770 10672000155 21344000310