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1023442000 = 24537411783
BaseRepresentation
bin111101000000000…
…111110001010000
32122022210020111021
4331000013301100
54044000121000
6245315525224
734235053630
oct7500076120
92568706437
101023442000
11485785139
122468b9814
131340571a9
1499cd06c0
155ecb211a
hex3d007c50

1023442000 has 160 divisors (see below), whose sum is σ = 2898814464. Its totient is φ = 342144000.

The previous prime is 1023441977. The next prime is 1023442001. The reversal of 1023442000 is 2443201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023442001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573109 + ... + 574891.

Almost surely, 21023442000 is an apocalyptic number.

1023442000 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 1023442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449407232).

1023442000 is an abundant number, since it is smaller than the sum of its proper divisors (1875372464).

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

1023442000 is a wasteful number, since it uses less digits than its factorization.

1023442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1838 counting only the distinct ones).

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

The square root of 1023442000 is about 31991.2800619169. The cubic root of 1023442000 is about 1007.7537243731.

Adding to 1023442000 its reverse (2443201), we get a palindrome (1025885201).

The spelling of 1023442000 in words is "one billion, twenty-three million, four hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 41 50 56 70 80 82 100 112 125 140 164 175 200 205 250 280 287 328 350 400 410 500 560 574 656 700 820 875 1000 1025 1148 1400 1435 1640 1750 1783 2000 2050 2296 2800 2870 3280 3500 3566 4100 4592 5125 5740 7000 7132 7175 8200 8915 10250 11480 12481 14000 14264 14350 16400 17830 20500 22960 24962 28528 28700 35660 35875 41000 44575 49924 57400 62405 71320 71750 73103 82000 89150 99848 114800 124810 142640 143500 146206 178300 199696 222875 249620 287000 292412 312025 356600 365515 445750 499240 511721 574000 584824 624050 713200 731030 891500 998480 1023442 1169648 1248100 1462060 1560125 1783000 1827575 2046884 2496200 2558605 2924120 3120250 3566000 3655150 4093768 4992400 5117210 5848240 6240500 7310300 8187536 9137875 10234420 12481000 12793025 14620600 18275750 20468840 24962000 25586050 29241200 36551500 40937680 51172100 63965125 73103000 102344200 127930250 146206000 204688400 255860500 511721000 1023442000