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14004340 = 2257671493
BaseRepresentation
bin110101011011…
…000001110100
3222100111100021
4311123001310
512041114330
61220054524
7230014660
oct65330164
928314307
1014004340
1179a5739
124834444
132b943bc
141c078a0
15136967a
hexd5b074

14004340 has 48 divisors (see below), whose sum is σ = 34134912. Its totient is φ = 4726656.

The previous prime is 14004337. The next prime is 14004359. The reversal of 14004340 is 4340041.

14004340 = T105 + T106 + ... + T439.

14004340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140043402 = 392243077671200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8634 + ... + 10126.

It is an arithmetic number, because the mean of its divisors is an integer number (711144).

Almost surely, 214004340 is an apocalyptic number.

14004340 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 14004340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17067456).

14004340 is an abundant number, since it is smaller than the sum of its proper divisors (20130572).

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

14004340 is a wasteful number, since it uses less digits than its factorization.

14004340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 14004340 is about 3742.2372987292. The cubic root of 14004340 is about 241.0391286479.

Adding to 14004340 its reverse (4340041), we get a palindrome (18344381).

The spelling of 14004340 in words is "fourteen million, four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 268 335 469 670 938 1340 1493 1876 2345 2986 4690 5972 7465 9380 10451 14930 20902 29860 41804 52255 100031 104510 200062 209020 400124 500155 700217 1000310 1400434 2000620 2800868 3501085 7002170 14004340