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1324002420 = 2232513565813
BaseRepresentation
bin100111011101010…
…1010110001110100
310102021100021212200
41032322222301310
510202421034140
6335213544500
744544556236
oct11672526164
93367307780
101324002420
1161a401684
1230b4a5130
131813c00b0
14c7bac256
157b382030
hex4eeaac74

1324002420 has 72 divisors (see below), whose sum is σ = 4325082216. Its totient is φ = 325907712.

The previous prime is 1324002419. The next prime is 1324002437. The reversal of 1324002420 is 242004231.

1324002420 is a `hidden beast` number, since 1 + 3 + 240 + 0 + 2 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8054244 + 1315948176 = 2838^2 + 36276^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1324002393 and 1324002402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280567 + ... + 285246.

Almost surely, 21324002420 is an apocalyptic number.

1324002420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1324002420 is an abundant number, since it is smaller than the sum of its proper divisors (3001079796).

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

1324002420 is a wasteful number, since it uses less digits than its factorization.

1324002420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565841 (or 565836 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1324002420 is about 36386.8440511128. The cubic root of 1324002420 is about 1098.0689038746.

Adding to 1324002420 its reverse (242004231), we get a palindrome (1566006651).

The spelling of 1324002420 in words is "one billion, three hundred twenty-four million, two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 565813 1131626 1697439 2263252 2829065 3394878 5092317 5658130 6789756 7355569 8487195 10184634 11316260 14711138 16974390 20369268 22066707 25461585 29422276 33948780 36777845 44133414 50923170 66200121 73555690 88266828 101846340 110333535 132400242 147111380 220667070 264800484 331000605 441334140 662001210 1324002420