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14004352 = 27372957
BaseRepresentation
bin110101011011…
…000010000000
3222100111100201
4311123002000
512041114402
61220054544
7230015005
oct65330200
928314321
1014004352
1179a574a
124834454
132b943cb
141c078ac
151369687
hexd5b080

14004352 has 32 divisors (see below), whose sum is σ = 28663020. Its totient is φ = 6810624.

The previous prime is 14004337. The next prime is 14004359. The reversal of 14004352 is 25340041.

It can be written as a sum of positive squares in 2 ways, for example, as 13957696 + 46656 = 3736^2 + 216^2 .

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

It is a super-2 number, since 2×140043522 = 392243749879808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14004359) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3258 + ... + 6214.

Almost surely, 214004352 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 14004352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14331510).

14004352 is an abundant number, since it is smaller than the sum of its proper divisors (14658668).

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

14004352 is an equidigital number, since it uses as much as digits as its factorization.

14004352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 14004352 is about 3742.2389020478. The cubic root of 14004352 is about 241.0391974948.

Adding to 14004352 its reverse (25340041), we get a palindrome (39344393).

The spelling of 14004352 in words is "fourteen million, four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 2957 4736 5914 11828 23656 47312 94624 109409 189248 218818 378496 437636 875272 1750544 3501088 7002176 14004352