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14300032 = 27472377
BaseRepresentation
bin110110100011…
…001110000000
3222220111221211
4312203032000
512130100112
61230255504
7232356025
oct66431600
928814854
1014300032
11808790a
124957594
132c68b76
141c8354c
1513c70a7
hexda3380

14300032 has 32 divisors (see below), whose sum is σ = 29106720. Its totient is φ = 6994944.

The previous prime is 14300023. The next prime is 14300059. The reversal of 14300032 is 23000341.

14300032 is nontrivially palindromic in base 12.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 14299985 and 14300021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4828 + ... + 7204.

It is an arithmetic number, because the mean of its divisors is an integer number (909585).

Almost surely, 214300032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14553360).

14300032 is an abundant number, since it is smaller than the sum of its proper divisors (14806688).

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

14300032 is an equidigital number, since it uses as much as digits as its factorization.

14300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 14300032 is about 3781.5383113225. The cubic root of 14300032 is about 242.7237853441.

Adding to 14300032 its reverse (23000341), we get a palindrome (37300373).

The spelling of 14300032 in words is "fourteen million, three hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1504 2377 3008 4754 6016 9508 19016 38032 76064 111719 152128 223438 304256 446876 893752 1787504 3575008 7150016 14300032