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14443440 = 2435115471
BaseRepresentation
bin110111000110…
…001110110000
31000011210200020
4313012032300
512144142230
61233323440
7233524104
oct67061660
930153606
1014443440
118175630
124a06580
132cb921b
141cbd904
151404810
hexdc63b0

14443440 has 80 divisors (see below), whose sum is σ = 48854016. Its totient is φ = 3500800.

The previous prime is 14443433. The next prime is 14443441. The reversal of 14443440 is 4434441.

14443440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×144434402 = 417225918067200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14443440.

It is not an unprimeable number, because it can be changed into a prime (14443441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96 + ... + 5375.

Almost surely, 214443440 is an apocalyptic number.

14443440 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 14443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24427008).

14443440 is an abundant number, since it is smaller than the sum of its proper divisors (34410576).

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

14443440 is a wasteful number, since it uses less digits than its factorization.

14443440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5498 (or 5492 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 14443440 is about 3800.4526046249. The cubic root of 14443440 is about 243.5324739159.

Adding to 14443440 its reverse (4434441), we get a palindrome (18877881).

It can be divided in two parts, 1444 and 3440, that added together give a palindrome (4884).

The spelling of 14443440 in words is "fourteen million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 5471 10942 16413 21884 27355 32826 43768 54710 60181 65652 82065 87536 109420 120362 131304 164130 180543 218840 240724 262608 300905 328260 361086 437680 481448 601810 656520 722172 902715 962896 1203620 1313040 1444344 1805430 2407240 2888688 3610860 4814480 7221720 14443440