Search a number
-
+
14440064 = 27373049
BaseRepresentation
bin110111000101…
…011010000000
31000011122001012
4313011122000
512144040224
61233300052
7233511212
oct67053200
930148035
1014440064
118173041
124a04628
132cb7822
141cbc5b2
15140380e
hexdc5680

14440064 has 32 divisors (see below), whose sum is σ = 29554500. Its totient is φ = 7022592.

The previous prime is 14440061. The next prime is 14440121. The reversal of 14440064 is 46004441.

It can be written as a sum of positive squares in 2 ways, for example, as 14440000 + 64 = 3800^2 + 8^2 .

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

It is not an unprimeable number, because it can be changed into a prime (14440061) 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, 3212 + ... + 6260.

Almost surely, 214440064 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 14440064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14777250).

14440064 is an abundant number, since it is smaller than the sum of its proper divisors (15114436).

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

14440064 is an equidigital number, since it uses as much as digits as its factorization.

14440064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3100 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 14440064 is about 3800.0084210433. The cubic root of 14440064 is about 243.5134980648.

It can be divided in two parts, 144400 and 64, that multiplied together give a square (9241600 = 30402).

The spelling of 14440064 in words is "fourteen million, four hundred forty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 3049 4736 6098 12196 24392 48784 97568 112813 195136 225626 390272 451252 902504 1805008 3610016 7220032 14440064