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324133040 = 24572117517
BaseRepresentation
bin10011010100011…
…110000010110000
3211120220122221102
4103110132002300
51130434224130
652055143532
711014041200
oct2324360260
9746818842
10324133040
11156a67a50
1290674ba8
13521ca4ca
1431096400
151d6c9645
hex1351e0b0

324133040 has 120 divisors (see below), whose sum is σ = 956470032. Its totient is φ = 101015040.

The previous prime is 324133039. The next prime is 324133049. The reversal of 324133040 is 40331423.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (324133049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39362 + ... + 46878.

Almost surely, 2324133040 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 324133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478235016).

324133040 is an abundant number, since it is smaller than the sum of its proper divisors (632336992).

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

324133040 is a wasteful number, since it uses less digits than its factorization.

324133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7555 (or 7542 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 324133040 is about 18003.6951762687. The cubic root of 324133040 is about 686.9225405585.

Adding to 324133040 its reverse (40331423), we get a palindrome (364464463).

It can be divided in two parts, 32413 and 3040, that added together give a palindrome (35453).

The spelling of 324133040 in words is "three hundred twenty-four million, one hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 49 55 56 70 77 80 88 98 110 112 140 154 176 196 220 245 280 308 385 392 440 490 539 560 616 770 784 880 980 1078 1232 1540 1960 2156 2695 3080 3920 4312 5390 6160 7517 8624 10780 15034 21560 30068 37585 43120 52619 60136 75170 82687 105238 120272 150340 165374 210476 263095 300680 330748 368333 413435 420952 526190 578809 601360 661496 736666 826870 841904 1052380 1157618 1322992 1473332 1653740 1841665 2104760 2315236 2894045 2946664 3307480 3683330 4051663 4209520 4630472 5788090 5893328 6614960 7366660 8103326 9260944 11576180 14733320 16206652 20258315 23152360 29466640 32413304 40516630 46304720 64826608 81033260 162066520 324133040