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1024340020 = 225112423281
BaseRepresentation
bin111101000011100…
…011000000110100
32122101110212100021
4331003203000310
54044212340040
6245351054524
734245514024
oct7503430064
92571425307
101024340020
11486238900
12247071444
131342acb72
149a085a84
155eddd24a
hex3d0e3034

1024340020 has 36 divisors (see below), whose sum is σ = 2364453252. Its totient is φ = 372486400.

The previous prime is 1024340017. The next prime is 1024340039. The reversal of 1024340020 is 200434201.

It can be written as a sum of positive squares in 2 ways, for example, as 203861284 + 820478736 = 14278^2 + 28644^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1024339976 and 1024340003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209221 + ... + 214060.

It is an arithmetic number, because the mean of its divisors is an integer number (65679257).

Almost surely, 21024340020 is an apocalyptic number.

1024340020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024340020 is an abundant number, since it is smaller than the sum of its proper divisors (1340113232).

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

1024340020 is a wasteful number, since it uses less digits than its factorization.

1024340020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423312 (or 423299 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1024340020 is about 32005.3123715423. The cubic root of 1024340020 is about 1008.0483896418.

Adding to 1024340020 its reverse (200434201), we get a palindrome (1224774221).

The spelling of 1024340020 in words is "one billion, twenty-four million, three hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 423281 846562 1693124 2116405 4232810 4656091 8465620 9312182 18624364 23280455 46560910 51217001 93121820 102434002 204868004 256085005 512170010 1024340020