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1000323312 = 243107194767
BaseRepresentation
bin111011100111111…
…011100011110000
32120201021200121120
4323213323203300
54022040321222
6243132222240
733534415332
oct7347734360
92521250546
101000323312
1147372478a
1223b00a980
1312c3213b1
1496bd3452
155cc4715c
hex3b9fb8f0

1000323312 has 40 divisors (see below), whose sum is σ = 2608333056. Its totient is φ = 330323136.

The previous prime is 1000323301. The next prime is 1000323329. The reversal of 1000323312 is 2133230001.

It is a junction number, because it is equal to n+sod(n) for n = 1000323291 and 1000323300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92248 + ... + 102519.

Almost surely, 21000323312 is an apocalyptic number.

1000323312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000323312 is an abundant number, since it is smaller than the sum of its proper divisors (1608009744).

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

1000323312 is a wasteful number, since it uses less digits than its factorization.

1000323312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194885 (or 194879 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1000323312 is about 31627.8882001312. Note that the first 3 decimals coincide. The cubic root of 1000323312 is about 1000.1077590542.

Adding to 1000323312 its reverse (2133230001), we get a palindrome (3133553313).

The spelling of 1000323312 in words is "one billion, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1284 1712 2568 5136 194767 389534 584301 779068 1168602 1558136 2337204 3116272 4674408 9348816 20840069 41680138 62520207 83360276 125040414 166720552 250080828 333441104 500161656 1000323312