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13084344 = 23327131997
BaseRepresentation
bin110001111010…
…011010111000
3220121202100100
4301322122320
511322144334
61144235400
7216133530
oct61723270
926552310
1013084344
117427509
12446bb60
132931720
141a484c0
151236c99
hexc7a6b8

13084344 has 96 divisors (see below), whose sum is σ = 43636320. Its totient is φ = 3449088.

The previous prime is 13084343. The next prime is 13084361. The reversal of 13084344 is 44348031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13084343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5554 + ... + 7550.

It is an arithmetic number, because the mean of its divisors is an integer number (454545).

Almost surely, 213084344 is an apocalyptic number.

13084344 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 13084344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21818160).

13084344 is an abundant number, since it is smaller than the sum of its proper divisors (30551976).

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

13084344 is a wasteful number, since it uses less digits than its factorization.

13084344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 13084344 is about 3617.2287735226. The cubic root of 13084344 is about 235.6408882850.

The spelling of 13084344 in words is "thirteen million, eighty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 1997 2184 3276 3994 5991 6552 7988 11982 13979 15976 17973 23964 25961 27958 35946 41937 47928 51922 55916 71892 77883 83874 103844 111832 125811 143784 155766 167748 181727 207688 233649 251622 311532 335496 363454 467298 503244 545181 623064 726908 934596 1006488 1090362 1453816 1635543 1869192 2180724 3271086 4361448 6542172 13084344