Search a number
-
+
13465344 = 28389197
BaseRepresentation
bin110011010111…
…011100000000
3221100002222110
4303113130000
511421342334
61200335320
7222311364
oct63273400
927302873
1013465344
117667792
124614540
132a35c79
141b072a4
1512aeae9
hexcd7700

13465344 has 72 divisors (see below), whose sum is σ = 36424080. Its totient is φ = 4415488.

The previous prime is 13465307. The next prime is 13465351. The reversal of 13465344 is 44356431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68254 + ... + 68450.

It is an arithmetic number, because the mean of its divisors is an integer number (505890).

Almost surely, 213465344 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 13465344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18212040).

13465344 is an abundant number, since it is smaller than the sum of its proper divisors (22958736).

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

13465344 is an equidigital number, since it uses as much as digits as its factorization.

13465344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 291 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 13465344 is about 3669.5154993541. The cubic root of 13465344 is about 237.9062314511.

The spelling of 13465344 in words is "thirteen million, four hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 197 256 267 356 384 394 534 591 712 768 788 1068 1182 1424 1576 2136 2364 2848 3152 4272 4728 5696 6304 8544 9456 11392 12608 17088 17533 18912 22784 25216 34176 35066 37824 50432 52599 68352 70132 75648 105198 140264 151296 210396 280528 420792 561056 841584 1122112 1683168 2244224 3366336 4488448 6732672 13465344