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14338016 = 257112232
BaseRepresentation
bin110110101100…
…011111100000
3222222110001122
4312230133200
512132304031
61231151412
7232604540
oct66543740
928873048
1014338016
118103400
124975568
132c80244
141c93320
1513d347b
hexdac7e0

14338016 has 108 divisors (see below), whose sum is σ = 37068696. Its totient is φ = 5343360.

The previous prime is 14337991. The next prime is 14338019. The reversal of 14338016 is 61083341.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14338019) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 623381 + ... + 623403.

Almost surely, 214338016 is an apocalyptic number.

14338016 is a gapful number since it is divisible by the number (16) 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 14338016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18534348).

14338016 is an abundant number, since it is smaller than the sum of its proper divisors (22730680).

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

14338016 is a wasteful number, since it uses less digits than its factorization.

14338016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 14338016 is about 3786.5572754152. The cubic root of 14338016 is about 242.9385044250.

It can be divided in two parts, 1433 and 8016, that added together give a palindrome (9449).

The spelling of 14338016 in words is "fourteen million, three hundred thirty-eight thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 56 77 88 92 112 121 154 161 176 184 224 242 253 308 322 352 368 484 506 529 616 644 736 847 968 1012 1058 1232 1288 1694 1771 1936 2024 2116 2464 2576 2783 3388 3542 3703 3872 4048 4232 5152 5566 5819 6776 7084 7406 8096 8464 11132 11638 13552 14168 14812 16928 19481 22264 23276 27104 28336 29624 38962 40733 44528 46552 56672 59248 64009 77924 81466 89056 93104 118496 128018 155848 162932 186208 256036 311696 325864 448063 512072 623392 651728 896126 1024144 1303456 1792252 2048288 3584504 7169008 14338016