Search a number
-
+
14317264 = 2413174049
BaseRepresentation
bin110110100111…
…011011010000
3222221101121001
4312213123100
512131123024
61230511344
7232460203
oct66473320
928841531
1014317264
118099855
124965554
132c73970
141c8993a
1513cc244
hexda76d0

14317264 has 40 divisors (see below), whose sum is σ = 31638600. Its totient is φ = 6217728.

The previous prime is 14317229. The next prime is 14317273. The reversal of 14317264 is 46271341.

It can be written as a sum of positive squares in 4 ways, for example, as 627264 + 13690000 = 792^2 + 3700^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1512 + ... + 5560.

It is an arithmetic number, because the mean of its divisors is an integer number (790965).

Almost surely, 214317264 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 14317264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15819300).

14317264 is an abundant number, since it is smaller than the sum of its proper divisors (17321336).

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

14317264 is a wasteful number, since it uses less digits than its factorization.

14317264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4087 (or 4081 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 14317264 is about 3783.8160631828. The cubic root of 14317264 is about 242.8212428727.

The spelling of 14317264 in words is "fourteen million, three hundred seventeen thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 4049 8098 16196 32392 52637 64784 68833 105274 137666 210548 275332 421096 550664 842192 894829 1101328 1789658 3579316 7158632 14317264