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14331000 = 2335317281
BaseRepresentation
bin110110101010…
…110001111000
3222222002102210
4312222301320
512132043000
61231055120
7232545225
oct66526170
928862383
1014331000
1180a9102
1249714a0
132c79ca8
141c9094c
1513d1350
hexdaac78

14331000 has 128 divisors (see below), whose sum is σ = 47511360. Its totient is φ = 3584000.

The previous prime is 14330977. The next prime is 14331011. The reversal of 14331000 is 13341.

It is a super-2 number, since 2×143310002 = 410755122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 50860 + ... + 51140.

Almost surely, 214331000 is an apocalyptic number.

14331000 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 14331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23755680).

14331000 is an abundant number, since it is smaller than the sum of its proper divisors (33180360).

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

14331000 is a wasteful number, since it uses less digits than its factorization.

14331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 14331000 is about 3785.6307268406. The cubic root of 14331000 is about 242.8988723811.

Adding to 14331000 its reverse (13341), we get a palindrome (14344341).

The spelling of 14331000 in words is "fourteen million, three hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 200 204 250 255 281 300 340 375 408 425 500 510 562 600 680 750 843 850 1000 1020 1124 1275 1405 1500 1686 1700 2040 2125 2248 2550 2810 3000 3372 3400 4215 4250 4777 5100 5620 6375 6744 7025 8430 8500 9554 10200 11240 12750 14050 14331 16860 17000 19108 21075 23885 25500 28100 28662 33720 35125 38216 42150 47770 51000 56200 57324 70250 71655 84300 95540 105375 114648 119425 140500 143310 168600 191080 210750 238850 281000 286620 358275 421500 477700 573240 597125 716550 843000 955400 1194250 1433100 1791375 2388500 2866200 3582750 4777000 7165500 14331000