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14304256 = 21061229
BaseRepresentation
bin110110100100…
…010000000000
3222220201202021
4312210100000
512130214011
61230331224
7232404241
oct66442000
928821667
1014304256
11808aaaa
124959b14
132c6aa75
141c84cc8
1513c8471
hexda4400

14304256 has 44 divisors (see below), whose sum is σ = 29190220. Its totient is φ = 7004160.

The previous prime is 14304253. The next prime is 14304263. The reversal of 14304256 is 65240341.

It can be written as a sum of positive squares in 2 ways, for example, as 6553600 + 7750656 = 2560^2 + 2784^2 .

It is a super-2 number, since 2×143042562 = 409223479427072, which contains 22 as substring.

It is a nialpdrome in base 8 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 14304256.

It is not an unprimeable number, because it can be changed into a prime (14304253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62350 + ... + 62578.

Almost surely, 214304256 is an apocalyptic number.

14304256 is a gapful number since it is divisible by the number (16) 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 14304256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14595110).

14304256 is an abundant number, since it is smaller than the sum of its proper divisors (14885964).

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

14304256 is an equidigital number, since it uses as much as digits as its factorization.

14304256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 14304256 is about 3782.0967729554. The cubic root of 14304256 is about 242.7476818952.

Adding to 14304256 its reverse (65240341), we get a palindrome (79544597).

The spelling of 14304256 in words is "fourteen million, three hundred four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 229 244 256 458 488 512 916 976 1024 1832 1952 3664 3904 7328 7808 13969 14656 15616 27938 29312 31232 55876 58624 62464 111752 117248 223504 234496 447008 894016 1788032 3576064 7152128 14304256