Search a number
-
+
324115044 = 2231131103769
BaseRepresentation
bin10011010100011…
…001101001100100
3211120212202020220
4103110121221210
51130433140134
652054524340
711013634551
oct2324315144
9746782226
10324115044
11156a55480
12906666b0
13521c2266
143108da28
151d6c4149
hex13519a64

324115044 has 96 divisors (see below), whose sum is σ = 861020160. Its totient is φ = 94003200.

The previous prime is 324115019. The next prime is 324115073. The reversal of 324115044 is 440511423.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421092 + ... + 421860.

It is an arithmetic number, because the mean of its divisors is an integer number (8968960).

Almost surely, 2324115044 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 324115044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430510080).

324115044 is an abundant number, since it is smaller than the sum of its proper divisors (536905116).

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

324115044 is a wasteful number, since it uses less digits than its factorization.

324115044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 324115044 is about 18003.1953830424. The cubic root of 324115044 is about 686.9098275823.

Adding to 324115044 its reverse (440511423), we get a palindrome (764626467).

The spelling of 324115044 in words is "three hundred twenty-four million, one hundred fifteen thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 103 124 132 186 206 309 341 372 412 618 682 769 1023 1133 1236 1364 1538 2046 2266 2307 3076 3193 3399 4092 4532 4614 6386 6798 8459 9228 9579 12772 13596 16918 19158 23839 25377 33836 35123 38316 47678 50754 70246 71517 79207 95356 101508 105369 140492 143034 158414 210738 237621 262229 286068 316828 421476 475242 524458 786687 871277 950484 1048916 1573374 1742554 2455417 2613831 3146748 3485108 4910834 5227662 7366251 9821668 10455324 14732502 27009587 29465004 54019174 81028761 108038348 162057522 324115044