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14234016 = 253672213
BaseRepresentation
bin110110010011…
…000110100000
3222210011101210
4312103012200
512120442031
61225030120
7231662406
oct66230640
928704353
1014234016
118042255
124925340
132c44ac4
141c67476
1513b2746
hexd931a0

14234016 has 48 divisors (see below), whose sum is σ = 37939104. Its totient is φ = 4671744.

The previous prime is 14233979. The next prime is 14234027. The reversal of 14234016 is 61043241.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×142340162 = 405214422976512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14233983 and 14234001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5326 + ... + 7538.

It is an arithmetic number, because the mean of its divisors is an integer number (790398).

Almost surely, 214234016 is an apocalyptic number.

14234016 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 14234016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18969552).

14234016 is an abundant number, since it is smaller than the sum of its proper divisors (23705088).

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

14234016 is a wasteful number, since it uses less digits than its factorization.

14234016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 14234016 is about 3772.7994910941. The cubic root of 14234016 is about 242.3496981965.

Adding to 14234016 its reverse (61043241), we get a palindrome (75277257).

The spelling of 14234016 in words is "fourteen million, two hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 2213 3216 4426 6432 6639 8852 13278 17704 26556 35408 53112 70816 106224 148271 212448 296542 444813 593084 889626 1186168 1779252 2372336 3558504 4744672 7117008 14234016