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14312448 = 210321553
BaseRepresentation
bin110110100110…
…010000000000
3222221010222200
4312212100000
512130444243
61230433200
7232440153
oct66462000
928833880
1014312448
118096177
124962800
132c71707
141c87c9a
1513caad3
hexda6400

14312448 has 66 divisors (see below), whose sum is σ = 41353494. Its totient is φ = 4767744.

The previous prime is 14312429. The next prime is 14312461. The reversal of 14312448 is 84421341.

It can be written as a sum of positive squares in only one way, i.e., 9437184 + 4875264 = 3072^2 + 2208^2 .

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8440 + ... + 9992.

Almost surely, 214312448 is an apocalyptic number.

14312448 is a gapful number since it is divisible by the number (18) 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 14312448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20676747).

14312448 is an abundant number, since it is smaller than the sum of its proper divisors (27041046).

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

14312448 is a wasteful number, since it uses less digits than its factorization.

14312448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1558 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 14312448 is about 3783.1796150857. The cubic root of 14312448 is about 242.7940133160.

Adding to 14312448 its reverse (84421341), we get a palindrome (98733789).

The spelling of 14312448 in words is "fourteen million, three hundred twelve thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 1553 2304 3072 3106 4608 4659 6212 9216 9318 12424 13977 18636 24848 27954 37272 49696 55908 74544 99392 111816 149088 198784 223632 298176 397568 447264 596352 795136 894528 1192704 1590272 1789056 2385408 3578112 4770816 7156224 14312448