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324384640 = 2752322037
BaseRepresentation
bin10011010101011…
…011011110000000
3211121101110001221
4103111123132000
51131020302030
652104404424
711016136546
oct2325333600
9747343057
10324384640
11157119a88
1290776714
1352287b98
143111dd96
151d728e7a
hex1355b780

324384640 has 64 divisors (see below), whose sum is σ = 809235360. Its totient is φ = 124106752.

The previous prime is 324384623. The next prime is 324384649. The reversal of 324384640 is 46483423.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 324384596 and 324384605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324384649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3702 + ... + 25738.

Almost surely, 2324384640 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 324384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404617680).

324384640 is an abundant number, since it is smaller than the sum of its proper divisors (484850720).

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

324384640 is a wasteful number, since it uses less digits than its factorization.

324384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22079 (or 22067 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The square root of 324384640 is about 18010.6812752877. The cubic root of 324384640 is about 687.1002299544.

The spelling of 324384640 in words is "three hundred twenty-four million, three hundred eighty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3680 7360 14720 22037 44074 88148 110185 176296 220370 352592 440740 506851 705184 881480 1013702 1410368 1762960 2027404 2534255 2820736 3525920 4054808 5068510 7051840 8109616 10137020 14103680 16219232 20274040 32438464 40548080 64876928 81096160 162192320 324384640