Search a number
-
+
324402024120 = 233526914337013
BaseRepresentation
bin1001011100001111101…
…11100000111010111000
31011000100010122021212020
410232013313200322320
520303333404232440
6405010033114440
732302661464656
oct4560767407270
91130303567766
10324402024120
1111563a538189
1252a556b8a20
132478b4c7935
14119b5d0bdd6
158689b133d0
hex4b87de0eb8

324402024120 has 128 divisors (see below), whose sum is σ = 977644987200. Its totient is φ = 86113193984.

The previous prime is 324402024077. The next prime is 324402024127. The reversal of 324402024120 is 21420204423.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324402024127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46253734 + ... + 46260746.

Almost surely, 2324402024120 is an apocalyptic number.

324402024120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324402024120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488822493600).

324402024120 is an abundant number, since it is smaller than the sum of its proper divisors (653242963080).

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

324402024120 is a wasteful number, since it uses less digits than its factorization.

324402024120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8729 (or 8725 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 324402024120 its reverse (21420204423), we get a palindrome (345822228543).

The spelling of 324402024120 in words is "three hundred twenty-four billion, four hundred two million, twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 269 538 807 1076 1345 1433 1614 2152 2690 2866 3228 4035 4299 5380 5732 6456 7013 7165 8070 8598 10760 11464 14026 14330 16140 17196 21039 21495 28052 28660 32280 34392 35065 42078 42990 56104 57320 70130 84156 85980 105195 140260 168312 171960 210390 280520 385477 420780 770954 841560 1156431 1541908 1886497 1927385 2312862 3083816 3772994 3854770 4625724 5659491 5782155 7545988 7709540 9251448 9432485 10049629 11318982 11564310 15091976 15419080 18864970 20099258 22637964 23128620 28297455 30148887 37729940 40198516 45275928 46257240 50248145 56594910 60297774 75459880 80397032 100496290 113189820 120595548 150744435 200992580 226379640 241191096 301488870 401985160 602977740 1205955480 2703350201 5406700402 8110050603 10813400804 13516751005 16220101206 21626801608 27033502010 32440202412 40550253015 54067004020 64880404824 81100506030 108134008040 162201012060 324402024120