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14044032 = 273273167
BaseRepresentation
bin110101100100…
…101110000000
3222102111210100
4311210232000
512043402112
61221002400
7230241462
oct65445600
928374710
1014044032
117a22542
124853400
132ba94a2
141c18132
1513762dc
hexd64b80

14044032 has 96 divisors (see below), whose sum is σ = 41212080. Its totient is φ = 4589568.

The previous prime is 14044003. The next prime is 14044061. The reversal of 14044032 is 23044041.

It is an interprime number because it is at equal distance from previous prime (14044003) and next prime (14044061).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14043996 and 14044014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84013 + ... + 84179.

Almost surely, 214044032 is an apocalyptic number.

14044032 is a gapful number since it is divisible by the number (12) 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 14044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20606040).

14044032 is an abundant number, since it is smaller than the sum of its proper divisors (27168048).

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

14044032 is a wasteful number, since it uses less digits than its factorization.

14044032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 14044032 is about 3747.5367910135. The cubic root of 14044032 is about 241.2666367043.

Adding to 14044032 its reverse (23044041), we get a palindrome (37088073).

Subtracting 14044032 from its reverse (23044041), we obtain a palindrome (9000009).

The spelling of 14044032 in words is "fourteen million, forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 167 192 219 288 292 334 384 438 501 576 584 657 668 876 1002 1152 1168 1314 1336 1503 1752 2004 2336 2628 2672 3006 3504 4008 4672 5256 5344 6012 7008 8016 9344 10512 10688 12024 12191 14016 16032 21024 21376 24048 24382 28032 32064 36573 42048 48096 48764 64128 73146 84096 96192 97528 109719 146292 192384 195056 219438 292584 390112 438876 585168 780224 877752 1170336 1560448 1755504 2340672 3511008 4681344 7022016 14044032