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14344344 = 2333753179
BaseRepresentation
bin110110101110…
…000010011000
3222222202202000
4312232002120
512133004334
61231241000
7232632150
oct66560230
928882660
1014344344
118108133
124979160
132c830a1
141c95760
1513d5299
hexdae098

14344344 has 128 divisors (see below), whose sum is σ = 46656000. Its totient is φ = 3998592.

The previous prime is 14344261. The next prime is 14344349. The reversal of 14344344 is 44344341.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14344349) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 80047 + ... + 80225.

It is an arithmetic number, because the mean of its divisors is an integer number (364500).

Almost surely, 214344344 is an apocalyptic number.

14344344 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 14344344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23328000).

14344344 is an abundant number, since it is smaller than the sum of its proper divisors (32311656).

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

14344344 is a wasteful number, since it uses less digits than its factorization.

14344344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 244 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 14344344 is about 3787.3927707593. The cubic root of 14344344 is about 242.9742390006.

Adding to 14344344 its reverse (44344341), we get a palindrome (58688685).

It can be divided in two parts, 1434 and 4344, that added together give a triangular number (5778 = T107).

The spelling of 14344344 in words is "fourteen million, three hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 53 54 56 63 72 84 106 108 126 159 168 179 189 212 216 252 318 358 371 378 424 477 504 537 636 716 742 756 954 1074 1113 1253 1272 1431 1432 1484 1512 1611 1908 2148 2226 2506 2862 2968 3222 3339 3759 3816 4296 4452 4833 5012 5724 6444 6678 7518 8904 9487 9666 10017 10024 11277 11448 12888 13356 15036 18974 19332 20034 22554 26712 28461 30072 33831 37948 38664 40068 45108 56922 66409 67662 75896 80136 85383 90216 113844 132818 135324 170766 199227 227688 256149 265636 270648 341532 398454 512298 531272 597681 683064 796908 1024596 1195362 1593816 1793043 2049192 2390724 3586086 4781448 7172172 14344344