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1000204320 = 25353535903
BaseRepresentation
bin111011100111011…
…110100000100000
32120201001122101110
4323213132200200
54022023014240
6243125503320
733533411403
oct7347364040
92521048343
101000204320
11473653345
1223ab71b40
1312c2ac19b
1496ba1d3a
155cc21c80
hex3b9de820

1000204320 has 96 divisors (see below), whose sum is σ = 3160104192. Its totient is φ = 265920512.

The previous prime is 1000204277. The next prime is 1000204351. The reversal of 1000204320 is 234020001.

1000204320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1000204296 and 1000204305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166489 + ... + 172391.

It is an arithmetic number, because the mean of its divisors is an integer number (32917752).

Almost surely, 21000204320 is an apocalyptic number.

1000204320 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 1000204320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580052096).

1000204320 is an abundant number, since it is smaller than the sum of its proper divisors (2159899872).

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

1000204320 is a wasteful number, since it uses less digits than its factorization.

1000204320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6274 (or 6266 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1000204320 is about 31626.0070195401. The cubic root of 1000204320 is about 1000.0681020287.

Adding to 1000204320 its reverse (234020001), we get a palindrome (1234224321).

The spelling of 1000204320 in words is "one billion, two hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 353 480 706 1059 1412 1765 2118 2824 3530 4236 5295 5648 5903 7060 8472 10590 11296 11806 14120 16944 17709 21180 23612 28240 29515 33888 35418 42360 47224 56480 59030 70836 84720 88545 94448 118060 141672 169440 177090 188896 236120 283344 354180 472240 566688 708360 944480 1416720 2083759 2833440 4167518 6251277 8335036 10418795 12502554 16670072 20837590 25005108 31256385 33340144 41675180 50010216 62512770 66680288 83350360 100020432 125025540 166700720 200040864 250051080 333401440 500102160 1000204320