Search a number
-
+
324424000 = 2653107379
BaseRepresentation
bin10011010101100…
…101000101000000
3211121110110001201
4103111211011000
51131023032000
652105310544
711016362365
oct2325450500
9747413051
10324424000
1115714660a
1290795454
135229ca84
143113046c
151d73596a
hex13565140

324424000 has 112 divisors (see below), whose sum is σ = 813084480. Its totient is φ = 128217600.

The previous prime is 324423997. The next prime is 324424013. The reversal of 324424000 is 424423.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 855811 + ... + 856189.

Almost surely, 2324424000 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 324424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406542240).

324424000 is an abundant number, since it is smaller than the sum of its proper divisors (488660480).

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

324424000 is a wasteful number, since it uses less digits than its factorization.

324424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 324424000 is about 18011.7739270734. The cubic root of 324424000 is about 687.1280191569.

Adding to 324424000 its reverse (424423), we get a palindrome (324848423).

The spelling of 324424000 in words is "three hundred twenty-four million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 107 125 160 200 214 250 320 379 400 428 500 535 758 800 856 1000 1070 1516 1600 1712 1895 2000 2140 2675 3032 3424 3790 4000 4280 5350 6064 6848 7580 8000 8560 9475 10700 12128 13375 15160 17120 18950 21400 24256 26750 30320 34240 37900 40553 42800 47375 53500 60640 75800 81106 85600 94750 107000 121280 151600 162212 171200 189500 202765 214000 303200 324424 379000 405530 428000 606400 648848 758000 811060 856000 1013825 1297696 1516000 1622120 2027650 2595392 3032000 3244240 4055300 5069125 6488480 8110600 10138250 12976960 16221200 20276500 32442400 40553000 64884800 81106000 162212000 324424000