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324440640 = 2634512517
BaseRepresentation
bin10011010101101…
…001001001000000
3211121111021220000
4103111221021000
51131024100030
652105520000
711016462036
oct2325511100
9747437800
10324440640
11157158067
12907a3000
13522a7514
1431136556
151d73a860
hex13569240

324440640 has 140 divisors (see below), whose sum is σ = 1154184636. Its totient is φ = 86510592.

The previous prime is 324440629. The next prime is 324440647. The reversal of 324440640 is 46044423.

It can be written as a sum of positive squares in 2 ways, for example, as 224280576 + 100160064 = 14976^2 + 10008^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (324440647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19662 + ... + 32178.

Almost surely, 2324440640 is an apocalyptic number.

324440640 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 324440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577092318).

324440640 is an abundant number, since it is smaller than the sum of its proper divisors (829743996).

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

324440640 is a wasteful number, since it uses less digits than its factorization.

324440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12546 (or 12527 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 324440640 is about 18012.2358412275. The cubic root of 324440640 is about 687.1397667616.

The spelling of 324440640 in words is "three hundred twenty-four million, four hundred forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12517 12960 25034 25920 37551 50068 62585 75102 100136 112653 125170 150204 187755 200272 225306 250340 300408 337959 375510 400544 450612 500680 563265 600816 675918 751020 801088 901224 1001360 1013877 1126530 1201632 1351836 1502040 1689795 1802448 2002720 2027754 2253060 2403264 2703672 3004080 3379590 3604896 4005440 4055508 4506120 5069385 5407344 6008160 6759180 7209792 8111016 9012240 10138770 10814688 12016320 13518360 16222032 18024480 20277540 21629376 27036720 32444064 36048960 40555080 54073440 64888128 81110160 108146880 162220320 324440640