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14434112 = 2671129101
BaseRepresentation
bin110111000011…
…111101000000
31000011022212202
4313003331000
512143342422
61233212332
7233454650
oct67037500
930138782
1014434112
118169620
124a010a8
132cb4bc4
141cba360
151401b92
hexdc3f40

14434112 has 112 divisors (see below), whose sum is σ = 37307520. Its totient is φ = 5376000.

The previous prime is 14434097. The next prime is 14434163. The reversal of 14434112 is 21143441.

14434112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142862 + ... + 142962.

Almost surely, 214434112 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 14434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18653760).

14434112 is an abundant number, since it is smaller than the sum of its proper divisors (22873408).

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

14434112 is a wasteful number, since it uses less digits than its factorization.

14434112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 14434112 is about 3799.2251841658. The cubic root of 14434112 is about 243.4800358049.

Adding to 14434112 its reverse (21143441), we get a palindrome (35577553).

It can be divided in two parts, 1443 and 4112, that added together give a palindrome (5555).

The spelling of 14434112 in words is "fourteen million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 64 77 88 101 112 116 154 176 202 203 224 232 308 319 352 404 406 448 464 616 638 704 707 808 812 928 1111 1232 1276 1414 1616 1624 1856 2222 2233 2464 2552 2828 2929 3232 3248 4444 4466 4928 5104 5656 5858 6464 6496 7777 8888 8932 10208 11312 11716 12992 15554 17776 17864 20416 20503 22624 23432 31108 32219 35552 35728 41006 45248 46864 62216 64438 71104 71456 82012 93728 124432 128876 142912 164024 187456 225533 248864 257752 328048 451066 497728 515504 656096 902132 1031008 1312192 1804264 2062016 3608528 7217056 14434112