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13324410 = 23251143313
BaseRepresentation
bin110010110101…
…000001111010
3221001221122200
4302311001322
511402340120
61153331030
7221153451
oct62650172
927057580
1013324410
117580910
124566a76
1329b6a88
141aabb98
151282e90
hexcb507a

13324410 has 96 divisors (see below), whose sum is σ = 38795328. Its totient is φ = 3144960.

The previous prime is 13324397. The next prime is 13324469. The reversal of 13324410 is 1442331.

13324410 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×133244103 (a number of 22 digits) contains 333 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42414 + ... + 42726.

It is an arithmetic number, because the mean of its divisors is an integer number (404118).

Almost surely, 213324410 is an apocalyptic number.

13324410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13324410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19397664).

13324410 is an abundant number, since it is smaller than the sum of its proper divisors (25470918).

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

13324410 is a wasteful number, since it uses less digits than its factorization.

13324410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 377 counting only the distinct ones).

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

The square root of 13324410 is about 3650.2616344585. The cubic root of 13324410 is about 237.0733095864.

Adding to 13324410 its reverse (1442331), we get a palindrome (14766741).

It can be divided in two parts, 13 and 324410, that added together give a palindrome (324423).

The spelling of 13324410 in words is "thirteen million, three hundred twenty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 43 45 55 66 86 90 99 110 129 165 198 215 258 313 330 387 430 473 495 626 645 774 939 946 990 1290 1419 1565 1878 1935 2365 2817 2838 3130 3443 3870 4257 4695 4730 5634 6886 7095 8514 9390 10329 13459 14085 14190 17215 20658 21285 26918 28170 30987 34430 40377 42570 51645 61974 67295 80754 103290 121131 134590 148049 154935 201885 242262 296098 309870 403770 444147 605655 740245 888294 1211310 1332441 1480490 2220735 2664882 4441470 6662205 13324410