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1000324312 = 2313194710771
BaseRepresentation
bin111011100111111…
…011110011011000
32120201021201222121
4323213323303120
54022040334222
6243132231024
733534421261
oct7347736330
92521251877
101000324312
11473725509
1223b00b474
1312c3219a0
1496bd3968
155cc475c7
hex3b9fbcd8

1000324312 has 64 divisors (see below), whose sum is σ = 2171635200. Its totient is φ = 428042880.

The previous prime is 1000324229. The next prime is 1000324327. The reversal of 1000324312 is 2134230001.

It is a happy number.

It is a congruent number.

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, 87487 + ... + 98257.

It is an arithmetic number, because the mean of its divisors is an integer number (33931800).

Almost surely, 21000324312 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 1000324312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085817600).

1000324312 is an abundant number, since it is smaller than the sum of its proper divisors (1171310888).

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

1000324312 is a wasteful number, since it uses less digits than its factorization.

1000324312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10856 (or 10852 counting only the distinct ones).

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

The square root of 1000324312 is about 31627.9040089602. The cubic root of 1000324312 is about 1000.1080923156.

Adding to 1000324312 its reverse (2134230001), we get a palindrome (3134554313).

The spelling of 1000324312 in words is "one billion, three hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 13 19 26 38 47 52 76 94 104 152 188 247 376 494 611 893 988 1222 1786 1976 2444 3572 4888 7144 10771 11609 21542 23218 43084 46436 86168 92872 140023 204649 280046 409298 506237 560092 818596 1012474 1120184 1637192 2024948 2660437 4049896 5320874 6581081 9618503 10641748 13162162 19237006 21283496 26324324 38474012 52648648 76948024 125040539 250081078 500162156 1000324312