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13644340 = 2253159373
BaseRepresentation
bin110100000011…
…001000110100
3221200012111221
4310003020310
511443104330
61204240124
7223655263
oct64031064
927605457
1013644340
11777a216
1246a0044
132a99598
141b525da
1512e7b7a
hexd03234

13644340 has 48 divisors (see below), whose sum is σ = 30159360. Its totient is φ = 5178240.

The previous prime is 13644331. The next prime is 13644347. The reversal of 13644340 is 4344631.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13644347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36394 + ... + 36766.

It is an arithmetic number, because the mean of its divisors is an integer number (628320).

Almost surely, 213644340 is an apocalyptic number.

13644340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13644340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15079680).

13644340 is an abundant number, since it is smaller than the sum of its proper divisors (16515020).

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

13644340 is a wasteful number, since it uses less digits than its factorization.

13644340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 13644340 is about 3693.8245762353. The cubic root of 13644340 is about 238.9557640625.

Adding to 13644340 its reverse (4344631), we get a palindrome (17988971).

The spelling of 13644340 in words is "thirteen million, six hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 59 62 118 124 155 236 295 310 373 590 620 746 1180 1492 1829 1865 3658 3730 7316 7460 9145 11563 18290 22007 23126 36580 44014 46252 57815 88028 110035 115630 220070 231260 440140 682217 1364434 2728868 3411085 6822170 13644340