Search a number
-
+
13324344 = 23311411231
BaseRepresentation
bin110010110101…
…000000111000
3221001221120020
4302311000320
511402334334
61153330440
7221153325
oct62650070
927057506
1013324344
117580860
124566a20
1329b6a37
141aabb4c
151282e49
hexcb5038

13324344 has 64 divisors (see below), whose sum is σ = 37255680. Its totient is φ = 3936000.

The previous prime is 13324319. The next prime is 13324361. The reversal of 13324344 is 44342331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10209 + ... + 11439.

It is an arithmetic number, because the mean of its divisors is an integer number (582120).

Almost surely, 213324344 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 13324344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18627840).

13324344 is an abundant number, since it is smaller than the sum of its proper divisors (23931336).

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

13324344 is a wasteful number, since it uses less digits than its factorization.

13324344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1288 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 13324344 is about 3650.2525939995. The cubic root of 13324344 is about 237.0729181529.

Adding to 13324344 its reverse (44342331), we get a palindrome (57666675).

The spelling of 13324344 in words is "thirteen million, three hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 902 984 1231 1353 1804 2462 2706 3608 3693 4924 5412 7386 9848 10824 13541 14772 27082 29544 40623 50471 54164 81246 100942 108328 151413 162492 201884 302826 324984 403768 555181 605652 1110362 1211304 1665543 2220724 3331086 4441448 6662172 13324344