Search a number
-
+
324141104 = 24717316729
BaseRepresentation
bin10011010100100…
…000000000110000
3211120221002000002
4103110200000300
51130440003404
652055245132
711014103540
oct2324400060
9746832002
10324141104
11156a73011
12906797a8
1352201091
1431099320
151d6cbc1e
hex13520030

324141104 has 40 divisors (see below), whose sum is σ = 721932960. Its totient is φ = 138106368.

The previous prime is 324141071. The next prime is 324141133. The reversal of 324141104 is 401141423.

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, 11012 + ... + 27740.

It is an arithmetic number, because the mean of its divisors is an integer number (18048324).

Almost surely, 2324141104 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 324141104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360966480).

324141104 is an abundant number, since it is smaller than the sum of its proper divisors (397791856).

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

324141104 is a wasteful number, since it uses less digits than its factorization.

324141104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16917 (or 16911 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 324141104 is about 18003.9191289008. The cubic root of 324141104 is about 686.9282370851.

Adding to 324141104 its reverse (401141423), we get a palindrome (725282527).

The spelling of 324141104 in words is "three hundred twenty-four million, one hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 173 346 692 1211 1384 2422 2768 4844 9688 16729 19376 33458 66916 117103 133832 234206 267664 468412 936824 1873648 2894117 5788234 11576468 20258819 23152936 40517638 46305872 81035276 162070552 324141104