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13443840 = 28335389
BaseRepresentation
bin110011010010…
…001100000000
3221022000111000
4303102030000
511420200330
61200052000
7222161604
oct63221400
927260430
1013443840
117652613
124604000
132a29247
141add504
1512a8560
hexcd2300

13443840 has 144 divisors (see below), whose sum is σ = 47829600. Its totient is φ = 3575808.

The previous prime is 13443827. The next prime is 13443847. The reversal of 13443840 is 4834431.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (13443847) 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, 34366 + ... + 34754.

It is an arithmetic number, because the mean of its divisors is an integer number (332150).

Almost surely, 213443840 is an apocalyptic number.

13443840 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 13443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23914800).

13443840 is an abundant number, since it is smaller than the sum of its proper divisors (34385760).

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

13443840 is an equidigital number, since it uses as much as digits as its factorization.

13443840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 399 counting only the distinct ones).

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

The square root of 13443840 is about 3666.5842414978. The cubic root of 13443840 is about 237.7795194665.

It can be divided in two parts, 1344 and 3840, that added together give a square (5184 = 722).

The spelling of 13443840 in words is "thirteen million, four hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 389 432 480 540 576 640 720 768 778 864 960 1080 1152 1167 1280 1440 1556 1728 1920 1945 2160 2304 2334 2880 3112 3456 3501 3840 3890 4320 4668 5760 5835 6224 6912 7002 7780 8640 9336 10503 11520 11670 12448 14004 15560 17280 17505 18672 21006 23340 24896 28008 31120 34560 35010 37344 42012 46680 49792 52515 56016 62240 70020 74688 84024 93360 99584 105030 112032 124480 140040 149376 168048 186720 210060 224064 248960 280080 298752 336096 373440 420120 448128 497920 560160 672192 746880 840240 896256 1120320 1344384 1493760 1680480 2240640 2688768 3360960 4481280 6721920 13443840