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1000343112 = 233475915031
BaseRepresentation
bin111011101000000…
…000011001001000
32120201022200202220
4323220000121020
54022041434422
6243132454040
733534530136
oct7350003110
92521280686
101000343112
1147373864a
1223b01a320
1312c32a402
1496bda756
155cc4ce5c
hex3ba00648

1000343112 has 64 divisors (see below), whose sum is σ = 2597529600. Its totient is φ = 320800320.

The previous prime is 1000343033. The next prime is 1000343143. The reversal of 1000343112 is 2113430001.

It is a junction number, because it is equal to n+sod(n) for n = 1000343091 and 1000343100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59037 + ... + 74067.

It is an arithmetic number, because the mean of its divisors is an integer number (40586400).

Almost surely, 21000343112 is an apocalyptic number.

1000343112 is a gapful number since it is divisible by the number (12) 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 1000343112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298764800).

1000343112 is an abundant number, since it is smaller than the sum of its proper divisors (1597186488).

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

1000343112 is a wasteful number, since it uses less digits than its factorization.

1000343112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15146 (or 15142 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1000343112 is about 31628.2012134740. The cubic root of 1000343112 is about 1000.1143575885.

Adding to 1000343112 its reverse (2113430001), we get a palindrome (3113773113).

The spelling of 1000343112 in words is "one billion, three hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 59 94 118 141 177 188 236 282 354 376 472 564 708 1128 1416 2773 5546 8319 11092 15031 16638 22184 30062 33276 45093 60124 66552 90186 120248 180372 360744 706457 886829 1412914 1773658 2119371 2660487 2825828 3547316 4238742 5320974 5651656 7094632 8477484 10641948 16954968 21283896 41680963 83361926 125042889 166723852 250085778 333447704 500171556 1000343112