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1020443340 = 223572429627
BaseRepresentation
bin111100110100101…
…011101011001100
32122010010220002210
4330310223223030
54042213141330
6245131350420
734200424320
oct7464535314
92563126083
101020443340
11484017204
122458b2410
13133547337
149974d980
155e8bd8b0
hex3cd2bacc

1020443340 has 48 divisors (see below), whose sum is σ = 3265420032. Its totient is φ = 233244096.

The previous prime is 1020443339. The next prime is 1020443357. The reversal of 1020443340 is 433440201.

1020443340 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10204433402 = 2082609220300711200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 15 ways as a sum of consecutive naturals, for example, 1214394 + ... + 1215233.

It is an arithmetic number, because the mean of its divisors is an integer number (68029584).

Almost surely, 21020443340 is an apocalyptic number.

1020443340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020443340 is an abundant number, since it is smaller than the sum of its proper divisors (2244976692).

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

1020443340 is a wasteful number, since it uses less digits than its factorization.

1020443340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429646 (or 2429644 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1020443340 is about 31944.3788482418. The cubic root of 1020443340 is about 1006.7685303020.

Adding to 1020443340 its reverse (433440201), we get a palindrome (1453883541).

The spelling of 1020443340 in words is "one billion, twenty million, four hundred forty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 2429627 4859254 7288881 9718508 12148135 14577762 17007389 24296270 29155524 34014778 36444405 48592540 51022167 68029556 72888810 85036945 102044334 145777620 170073890 204088668 255110835 340147780 510221670 1020443340