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14310000 = 24335453
BaseRepresentation
bin110110100101…
…101001110000
3222221000122000
4312211221300
512130410000
61230414000
7232430055
oct66455160
928830560
1014310000
118094351
124961300
132c70573
141c8702c
1513ca000
hexda5a70

14310000 has 200 divisors, whose sum is σ = 52295760. Its totient is φ = 3744000.

The previous prime is 14309987. The next prime is 14310001. The reversal of 14310000 is 1341.

14310000 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 (200).

It is a super-2 number, since 2×143100002 = 409552200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14310001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 269974 + ... + 270026.

Almost surely, 214310000 is an apocalyptic number.

14310000 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 14310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26147880).

14310000 is an abundant number, since it is smaller than the sum of its proper divisors (37985760).

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

14310000 is an equidigital number, since it uses as much as digits as its factorization.

14310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 14310000 is about 3782.8560638755. The cubic root of 14310000 is about 242.7801700370.

Adding to 14310000 its reverse (1341), we get a palindrome (14311341).

The spelling of 14310000 in words is "fourteen million, three hundred ten thousand".