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13448344 = 237313229
BaseRepresentation
bin110011010011…
…010010011000
3221022020122211
4303103102120
511420321334
61200124504
7222211000
oct63232230
927266584
1013448344
117655a38
124606734
132a2b300
141b01000
1512a9a64
hexcd3498

13448344 has 96 divisors (see below), whose sum is σ = 32940000. Its totient is φ = 5136768.

The previous prime is 13448339. The next prime is 13448359. The reversal of 13448344 is 44384431.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

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 23 ways as a sum of consecutive naturals, for example, 463722 + ... + 463750.

It is an arithmetic number, because the mean of its divisors is an integer number (343125).

Almost surely, 213448344 is an apocalyptic number.

13448344 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 13448344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16470000).

13448344 is an abundant number, since it is smaller than the sum of its proper divisors (19491656).

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

13448344 is a wasteful number, since it uses less digits than its factorization.

13448344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 51 counting only the distinct ones).

The product of its digits is 18432, while the sum is 31.

The square root of 13448344 is about 3667.1983856890. The cubic root of 13448344 is about 237.8060703969.

The spelling of 13448344 in words is "thirteen million, four hundred forty-eight thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 29 49 52 56 58 91 98 104 116 169 182 196 203 232 338 343 364 377 392 406 637 676 686 728 754 812 1183 1274 1352 1372 1421 1508 1624 2366 2548 2639 2744 2842 3016 4459 4732 4901 5096 5278 5684 8281 8918 9464 9802 9947 10556 11368 16562 17836 18473 19604 19894 21112 33124 34307 35672 36946 39208 39788 57967 66248 68614 73892 79576 115934 129311 137228 147784 231868 240149 258622 274456 463736 480298 517244 960596 1034488 1681043 1921192 3362086 6724172 13448344