Search a number
-
+
344107104 = 25311378807
BaseRepresentation
bin10100100000101…
…010100001100000
3212222111110012120
4110200222201200
51201042411404
654051224240
711345601465
oct2440524140
9788443176
10344107104
1116726a840
12972a8080
13563a1b93
14339b566c
15203229d9
hex1482a860

344107104 has 96 divisors (see below), whose sum is σ = 1012144896. Its totient is φ = 101445120.

The previous prime is 344107073. The next prime is 344107121. The reversal of 344107104 is 401701443.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34669 + ... + 43475.

It is an arithmetic number, because the mean of its divisors is an integer number (10543176).

Almost surely, 2344107104 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 344107104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506072448).

344107104 is an abundant number, since it is smaller than the sum of its proper divisors (668037792).

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

344107104 is a wasteful number, since it uses less digits than its factorization.

344107104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8868 (or 8860 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 344107104 is about 18550.1240966199. The cubic root of 344107104 is about 700.7523231259.

Adding to 344107104 its reverse (401701443), we get a palindrome (745808547).

It can be divided in two parts, 34410 and 7104, that added together give a palindrome (41514).

The spelling of 344107104 in words is "three hundred forty-four million, one hundred seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 132 148 176 222 264 296 352 407 444 528 592 814 888 1056 1184 1221 1628 1776 2442 3256 3552 4884 6512 8807 9768 13024 17614 19536 26421 35228 39072 52842 70456 96877 105684 140912 193754 211368 281824 290631 325859 387508 422736 581262 651718 775016 845472 977577 1162524 1303436 1550032 1955154 2325048 2606872 3100064 3584449 3910308 4650096 5213744 7168898 7820616 9300192 10427488 10753347 14337796 15641232 21506694 28675592 31282464 43013388 57351184 86026776 114702368 172053552 344107104