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12741344 = 257115171
BaseRepresentation
bin110000100110…
…101011100000
3212222022211122
4300212223200
511230210334
61133031412
7213204530
oct60465340
925868748
1012741344
117212840
124325568
132841575
1419994c0
1511ba32e
hexc26ae0

12741344 has 48 divisors (see below), whose sum is σ = 31280256. Its totient is φ = 4963200.

The previous prime is 12741319. The next prime is 12741361. The reversal of 12741344 is 44314721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122 + ... + 5049.

It is an arithmetic number, because the mean of its divisors is an integer number (651672).

Almost surely, 212741344 is an apocalyptic number.

12741344 is a gapful number since it is divisible by the number (14) 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 12741344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15640128).

12741344 is an abundant number, since it is smaller than the sum of its proper divisors (18538912).

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

12741344 is a wasteful number, since it uses less digits than its factorization.

12741344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5199 (or 5191 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 12741344 is about 3569.5019260395. The cubic root of 12741344 is about 233.5635568970.

The spelling of 12741344 in words is "twelve million, seven hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 5171 10342 20684 36197 41368 56881 72394 82736 113762 144788 165472 227524 289576 398167 455048 579152 796334 910096 1158304 1592668 1820192 3185336 6370672 12741344