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14438064 = 243312313
BaseRepresentation
bin110111000100…
…111010110000
31000011112022010
4313010322300
512144004224
61233242520
7233502324
oct67047260
930145263
1014438064
118171593
124a03440
132cb6944
141cbb984
151402e29
hexdc4eb0

14438064 has 60 divisors (see below), whose sum is σ = 38663448. Its totient is φ = 4642560.

The previous prime is 14438057. The next prime is 14438077. The reversal of 14438064 is 46083441.

14438064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 45972 + ... + 46284.

Almost surely, 214438064 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 14438064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19331724).

14438064 is an abundant number, since it is smaller than the sum of its proper divisors (24225384).

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

14438064 is a wasteful number, since it uses less digits than its factorization.

14438064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 14438064 is about 3799.7452546191. The cubic root of 14438064 is about 243.5022550518.

The spelling of 14438064 in words is "fourteen million, four hundred thirty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 313 372 496 626 744 939 961 1252 1488 1878 1922 2504 2883 3756 3844 5008 5766 7512 7688 9703 11532 15024 15376 19406 23064 29109 38812 46128 58218 77624 116436 155248 232872 300793 465744 601586 902379 1203172 1804758 2406344 3609516 4812688 7219032 14438064