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14340000 = 25354239
BaseRepresentation
bin110110101100…
…111110100000
3222222112210010
4312230332200
512132340000
61231204520
7232613403
oct66547640
928875703
1014340000
118104944
124976740
132c8110c
141c93d3a
1513d3d50
hexdacfa0

14340000 has 120 divisors (see below), whose sum is σ = 47234880. Its totient is φ = 3808000.

The previous prime is 14339981. The next prime is 14340019. The reversal of 14340000 is 4341.

It is an interprime number because it is at equal distance from previous prime (14339981) and next prime (14340019).

It is a tau number, because it is divible by the number of its divisors (120).

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 19 ways as a sum of consecutive naturals, for example, 59881 + ... + 60119.

It is an arithmetic number, because the mean of its divisors is an integer number (393624).

Almost surely, 214340000 is an apocalyptic number.

14340000 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 14340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23617440).

14340000 is an abundant number, since it is smaller than the sum of its proper divisors (32894880).

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

14340000 is an equidigital number, since it uses as much as digits as its factorization.

14340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 14340000 is about 3786.8192457523. The cubic root of 14340000 is about 242.9497093170.

Adding to 14340000 its reverse (4341), we get a palindrome (14344341).

The spelling of 14340000 in words is "fourteen million, three hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 239 240 250 300 375 400 478 480 500 600 625 717 750 800 956 1000 1195 1200 1250 1434 1500 1875 1912 2000 2390 2400 2500 2868 3000 3585 3750 3824 4000 4780 5000 5736 5975 6000 7170 7500 7648 9560 10000 11472 11950 12000 14340 15000 17925 19120 20000 22944 23900 28680 29875 30000 35850 38240 47800 57360 59750 60000 71700 89625 95600 114720 119500 143400 149375 179250 191200 239000 286800 298750 358500 448125 478000 573600 597500 717000 896250 956000 1195000 1434000 1792500 2390000 2868000 3585000 4780000 7170000 14340000