Search a number
-
+
104131344 = 24329239313
BaseRepresentation
bin1100011010011…
…10101100010000
321020221102100110
412031032230100
5203124200334
614155521320
72403046632
oct615165420
9236842313
10104131344
1153863469
122aa59240
131875c0a5
14db88a52
15921dae9
hex634eb10

104131344 has 80 divisors (see below), whose sum is σ = 280339200. Its totient is φ = 33266688.

The previous prime is 104131319. The next prime is 104131397. The reversal of 104131344 is 443131401.

It is a self number, because there is not a number n which added to its sum of digits gives 104131344.

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, 332532 + ... + 332844.

It is an arithmetic number, because the mean of its divisors is an integer number (3504240).

Almost surely, 2104131344 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 104131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140169600).

104131344 is an abundant number, since it is smaller than the sum of its proper divisors (176207856).

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

104131344 is a wasteful number, since it uses less digits than its factorization.

104131344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 104131344 is about 10204.4766646801. The cubic root of 104131344 is about 470.4648245847.

Adding to 104131344 its reverse (443131401), we get a palindrome (547262745).

It can be divided in two parts, 1041 and 31344, that added together give a triangular number (32385 = T254).

The spelling of 104131344 in words is "one hundred four million, one hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 239 313 348 464 478 626 696 717 939 956 1252 1392 1434 1878 1912 2504 2868 3756 3824 5008 5736 6931 7512 9077 11472 13862 15024 18154 20793 27231 27724 36308 41586 54462 55448 72616 74807 83172 108924 110896 145232 149614 166344 217848 224421 299228 332688 435696 448842 598456 897684 1196912 1795368 2169403 3590736 4338806 6508209 8677612 13016418 17355224 26032836 34710448 52065672 104131344