| Base | Representation |
|---|---|
| bin | 110110101111… |
| … | …010000000000 |
| 3 | 1000000000120000 |
| 4 | 312233100000 |
| 5 | 12133134222 |
| 6 | 1231320000 |
| 7 | 232652505 |
| oct | 66572000 |
| 9 | 30000500 |
| 10 | 14349312 |
| 11 | 811093a |
| 12 | 4980000 |
| 13 | 2c85423 |
| 14 | 1c974ac |
| 15 | 13d69ac |
| hex | daf400 |
14349312 has 110 divisors (see below), whose sum is σ = 43097538. Its totient is φ = 4755456.
The previous prime is 14349301. The next prime is 14349317. The reversal of 14349312 is 21394341.
14349312 is a `hidden beast` number, since 1 + 4 + 349 + 312 = 666.
It can be written as a sum of positive squares in only one way, i.e., 14017536 + 331776 = 3744^2 + 576^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
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 congruent number.
It is not an unprimeable number, because it can be changed into a prime (14349317) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82858 + ... + 83030.
Almost surely, 214349312 is an apocalyptic number.
14349312 is a gapful number since it is divisible by the number (12) 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 14349312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21548769).
14349312 is an abundant number, since it is smaller than the sum of its proper divisors (28748226).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14349312 is an equidigital number, since it uses as much as digits as its factorization.
14349312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 205 (or 178 counting only the distinct ones).
The product of its digits is 2592, while the sum is 27.
The square root of 14349312 is about 3788.0485741342. The cubic root of 14349312 is about 243.0022862153.
It can be divided in two parts, 143 and 49312, that added together give a triangular number (49455 = T314).
The spelling of 14349312 in words is "fourteen million, three hundred forty-nine thousand, three hundred twelve".
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