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1042443300 = 2235271109449
BaseRepresentation
bin111110001000100…
…110110000100100
32200122112121101010
4332020212300210
54113331141200
6251235102220
734555423203
oct7610466044
92618477333
101042443300
11495483098
12251141970
13137c7ab72
149c63923a
15617b7150
hex3e226c24

1042443300 has 144 divisors (see below), whose sum is σ = 3093552000. Its totient is φ = 270950400.

The previous prime is 1042443299. The next prime is 1042443307. The reversal of 1042443300 is 33442401.

It is not an unprimeable number, because it can be changed into a prime (1042443307) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2321476 + ... + 2321924.

It is an arithmetic number, because the mean of its divisors is an integer number (21483000).

Almost surely, 21042443300 is an apocalyptic number.

1042443300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042443300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546776000).

1042443300 is an abundant number, since it is smaller than the sum of its proper divisors (2051108700).

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

1042443300 is a wasteful number, since it uses less digits than its factorization.

1042443300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 639 counting only the distinct ones).

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

The square root of 1042443300 is about 32286.8905285102. The cubic root of 1042443300 is about 1013.9521975216.

Adding to 1042443300 its reverse (33442401), we get a palindrome (1075885701).

The spelling of 1042443300 in words is "one billion, forty-two million, four hundred forty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 109 142 150 213 218 284 300 327 355 426 436 449 545 654 710 852 898 1065 1090 1308 1347 1420 1635 1775 1796 2130 2180 2245 2694 2725 3270 3550 4260 4490 5325 5388 5450 6540 6735 7100 7739 8175 8980 10650 10900 11225 13470 15478 16350 21300 22450 23217 26940 30956 31879 32700 33675 38695 44900 46434 48941 63758 67350 77390 92868 95637 97882 116085 127516 134700 146823 154780 159395 191274 193475 195764 232170 244705 293646 318790 382548 386950 464340 478185 489410 580425 587292 637580 734115 773900 796975 956370 978820 1160850 1223525 1468230 1593950 1912740 2321700 2390925 2447050 2936460 3187900 3474811 3670575 4781850 4894100 6949622 7341150 9563700 10424433 13899244 14682300 17374055 20848866 34748110 41697732 52122165 69496220 86870275 104244330 173740550 208488660 260610825 347481100 521221650 1042443300