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1323412000 = 2553330853
BaseRepresentation
bin100111011100001…
…1010101000100000
310102020020021222021
41032320122220200
510202243141000
6335153151224
744536550011
oct11670325040
93366207867
101323412000
1161a039029
1230b25b514
13181244431
14c7a97008
157b2b711a
hex4ee1aa20

1323412000 has 48 divisors (see below), whose sum is σ = 3251633112. Its totient is φ = 529363200.

The previous prime is 1323411953. The next prime is 1323412021. The reversal of 1323412000 is 2143231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 104284944 + 1219127056 = 10212^2 + 34916^2 .

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 161427 + ... + 169426.

Almost surely, 21323412000 is an apocalyptic number.

1323412000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1323412000 is an abundant number, since it is smaller than the sum of its proper divisors (1928221112).

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

1323412000 is an equidigital number, since it uses as much as digits as its factorization.

1323412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330878 (or 330860 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1323412000 is about 36378.7300493022. The cubic root of 1323412000 is about 1097.9056568830.

Adding to 1323412000 its reverse (2143231), we get a palindrome (1325555231).

The spelling of 1323412000 in words is "one billion, three hundred twenty-three million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 330853 661706 1323412 1654265 2646824 3308530 5293648 6617060 8271325 10587296 13234120 16542650 26468240 33085300 41356625 52936480 66170600 82713250 132341200 165426500 264682400 330853000 661706000 1323412000