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14042340 = 223251317353
BaseRepresentation
bin110101100100…
…010011100100
3222102102110200
4311210103210
512043323330
61220550500
7230233524
oct65442344
928372420
1014042340
117a21244
124852430
132ba87a0
141c17684
151375a60
hexd644e4

14042340 has 144 divisors (see below), whose sum is σ = 48707568. Its totient is φ = 3244032.

The previous prime is 14042339. The next prime is 14042341. The reversal of 14042340 is 4324041.

It is an interprime number because it is at equal distance from previous prime (14042339) and next prime (14042341).

It can be written as a sum of positive squares in 8 ways, for example, as 381924 + 13660416 = 618^2 + 3696^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14042341) 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 47 ways as a sum of consecutive naturals, for example, 39604 + ... + 39956.

It is an arithmetic number, because the mean of its divisors is an integer number (338247).

Almost surely, 214042340 is an apocalyptic number.

14042340 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 14042340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24353784).

14042340 is an abundant number, since it is smaller than the sum of its proper divisors (34665228).

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

14042340 is a wasteful number, since it uses less digits than its factorization.

14042340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 14042340 is about 3747.3110359296. The cubic root of 14042340 is about 241.2569471900.

Adding to 14042340 its reverse (4324041), we get a palindrome (18366381).

The spelling of 14042340 in words is "fourteen million, forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 353 390 442 468 510 585 612 663 706 765 780 884 1020 1059 1105 1170 1326 1412 1530 1765 1989 2118 2210 2340 2652 3060 3177 3315 3530 3978 4236 4420 4589 5295 6001 6354 6630 7060 7956 9178 9945 10590 12002 12708 13260 13767 15885 18003 18356 19890 21180 22945 24004 27534 30005 31770 36006 39780 41301 45890 54009 55068 60010 63540 68835 72012 78013 82602 90015 91780 108018 120020 137670 156026 165204 180030 206505 216036 234039 270045 275340 312052 360060 390065 413010 468078 540090 702117 780130 826020 936156 1080180 1170195 1404234 1560260 2340390 2808468 3510585 4680780 7021170 14042340