Search a number
-
+
344129214 = 231113795077
BaseRepresentation
bin10100100000101…
…111111010111110
3212222112120112110
4110200233322332
51201044113324
654051514450
711346023112
oct2440577276
9788476473
10344129214
11167285410
12972b8a26
13563abc70
14339bd742
1520329329
hex1482febe

344129214 has 64 divisors (see below), whose sum is σ = 818979840. Its totient is φ = 95022720.

The previous prime is 344129213. The next prime is 344129221. The reversal of 344129214 is 412921443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344129213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65244 + ... + 70320.

It is an arithmetic number, because the mean of its divisors is an integer number (12796560).

Almost surely, 2344129214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344129214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409489920).

344129214 is an abundant number, since it is smaller than the sum of its proper divisors (474850626).

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

344129214 is a wasteful number, since it uses less digits than its factorization.

344129214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5185.

The product of its digits is 6912, while the sum is 30.

The square root of 344129214 is about 18550.7200399338. The cubic root of 344129214 is about 700.7673313426.

The spelling of 344129214 in words is "three hundred forty-four million, one hundred twenty-nine thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 79 143 158 237 286 429 474 858 869 1027 1738 2054 2607 3081 5077 5214 6162 10154 11297 15231 22594 30462 33891 55847 66001 67782 111694 132002 167541 198003 335082 396006 401083 726011 802166 1203249 1452022 2178033 2406498 4356066 4411913 5214079 8823826 10428158 13235739 15642237 26471478 31284474 57354869 114709738 172064607 344129214