Search a number
-
+
344134112 = 2577919447
BaseRepresentation
bin10100100000110…
…001000111100000
3212222112211020212
4110200301013200
51201044242422
654051553252
711346043310
oct2440610740
9788484225
10344134112
11167289063
12972bb828
13563b126a
14339c1440
152032a9e2
hex148311e0

344134112 has 48 divisors (see below), whose sum is σ = 784143360. Its totient is φ = 145611648.

The previous prime is 344134081. The next prime is 344134129. The reversal of 344134112 is 211431443.

It is a congruent number.

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, 7973 + ... + 27419.

It is an arithmetic number, because the mean of its divisors is an integer number (16336320).

Almost surely, 2344134112 is an apocalyptic number.

344134112 is a gapful number since it is divisible by the number (32) 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 344134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392071680).

344134112 is an abundant number, since it is smaller than the sum of its proper divisors (440009248).

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

344134112 is a wasteful number, since it uses less digits than its factorization.

344134112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19543 (or 19535 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 344134112 is about 18550.8520559030. The cubic root of 344134112 is about 700.7706560067.

Adding to 344134112 its reverse (211431443), we get a palindrome (555565555).

The spelling of 344134112 in words is "three hundred forty-four million, one hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 224 316 553 632 1106 1264 2212 2528 4424 8848 17696 19447 38894 77788 136129 155576 272258 311152 544516 622304 1089032 1536313 2178064 3072626 4356128 6145252 10754191 12290504 21508382 24581008 43016764 49162016 86033528 172067056 344134112