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14344000 = 265311163
BaseRepresentation
bin110110101101…
…111101000000
3222222202021021
4312231331000
512133002000
61231235224
7232631146
oct66557500
928882237
1014344000
118107950
124978b14
132c82b98
141c95596
1513d511a
hexdadf40

14344000 has 112 divisors (see below), whose sum is σ = 38990016. Its totient is φ = 5184000.

The previous prime is 14343997. The next prime is 14344003. The reversal of 14344000 is 44341.

It is an interprime number because it is at equal distance from previous prime (14343997) and next prime (14344003).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14344003) 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 15 ways as a sum of consecutive naturals, for example, 87919 + ... + 88081.

Almost surely, 214344000 is an apocalyptic number.

14344000 is a gapful number since it is divisible by the number (10) 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 14344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19495008).

14344000 is an abundant number, since it is smaller than the sum of its proper divisors (24646016).

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

14344000 is a wasteful number, since it uses less digits than its factorization.

14344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 14344000 is about 3787.3473566601. The cubic root of 14344000 is about 242.9722966832.

Adding to 14344000 its reverse (44341), we get a palindrome (14388341).

The spelling of 14344000 in words is "fourteen million, three hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 163 176 200 220 250 275 320 326 352 400 440 500 550 652 704 800 815 880 1000 1100 1304 1375 1600 1630 1760 1793 2000 2200 2608 2750 3260 3520 3586 4000 4075 4400 5216 5500 6520 7172 8000 8150 8800 8965 10432 11000 13040 14344 16300 17600 17930 20375 22000 26080 28688 32600 35860 40750 44000 44825 52160 57376 65200 71720 81500 88000 89650 114752 130400 143440 163000 179300 224125 260800 286880 326000 358600 448250 573760 652000 717200 896500 1304000 1434400 1793000 2868800 3586000 7172000 14344000