Search a number
-
+
344248884 = 223274331769
BaseRepresentation
bin10100100001001…
…101001000110100
3212222202122200200
4110201031020310
51201111431014
654054240500
711350032030
oct2441151064
9788678620
10344248884
11167357311
1297356130
1356421585
1433a111c0
152034ea09
hex1484d234

344248884 has 72 divisors (see below), whose sum is σ = 1017656640. Its totient is φ = 96066432.

The previous prime is 344248873. The next prime is 344248901. The reversal of 344248884 is 488842443.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5049 + ... + 26720.

It is an arithmetic number, because the mean of its divisors is an integer number (14134120).

Almost surely, 2344248884 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 344248884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508828320).

344248884 is an abundant number, since it is smaller than the sum of its proper divisors (673407756).

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

344248884 is a wasteful number, since it uses less digits than its factorization.

344248884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31829 (or 31824 counting only the distinct ones).

The product of its digits is 786432, while the sum is 45.

The square root of 344248884 is about 18553.9452408376. The cubic root of 344248884 is about 700.8485519077.

It can be divided in two parts, 3442 and 48884, that added together give a triangular number (52326 = T323).

The spelling of 344248884 in words is "three hundred forty-four million, two hundred forty-eight thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1204 1548 1806 2709 3612 5418 10836 31769 63538 95307 127076 190614 222383 285921 381228 444766 571842 667149 889532 1143684 1334298 1366067 2001447 2668596 2732134 4002894 4098201 5464268 8005788 8196402 9562469 12294603 16392804 19124938 24589206 28687407 38249876 49178412 57374814 86062221 114749628 172124442 344248884