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1000382424 = 2332314912163
BaseRepresentation
bin111011101000001…
…001111111011000
32120201101200200220
4323220021333120
54022044214144
6243133400040
733535052556
oct7350117730
92521350626
101000382424
11473765138
1223b039020
1312c342282
1496c0abd6
155cc59919
hex3ba09fd8

1000382424 has 64 divisors (see below), whose sum is σ = 2627424000. Its totient is φ = 316795776.

The previous prime is 1000382413. The next prime is 1000382479. The reversal of 1000382424 is 4242830001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1000382394 and 1000382403.

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 15 ways as a sum of consecutive naturals, for example, 76167 + ... + 88329.

It is an arithmetic number, because the mean of its divisors is an integer number (41053500).

Almost surely, 21000382424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000382424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313712000).

1000382424 is an abundant number, since it is smaller than the sum of its proper divisors (1627041576).

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

1000382424 is a wasteful number, since it uses less digits than its factorization.

1000382424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12344 (or 12340 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1000382424 is about 31628.8226780574. The cubic root of 1000382424 is about 1000.1274584203.

The spelling of 1000382424 in words is "one billion, three hundred eighty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 149 184 276 298 447 552 596 894 1192 1788 3427 3576 6854 10281 12163 13708 20562 24326 27416 36489 41124 48652 72978 82248 97304 145956 279749 291912 559498 839247 1118996 1678494 1812287 2237992 3356988 3624574 5436861 6713976 7249148 10873722 14498296 21747444 41682601 43494888 83365202 125047803 166730404 250095606 333460808 500191212 1000382424