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1000368 = 24326947
BaseRepresentation
bin11110100001110110000
31212211020200
43310032300
5224002433
633235200
711334345
oct3641660
91784220
101000368
11623656
12402b00
13290445
141c07cc
1514b613
hexf43b0

1000368 has 30 divisors (see below), whose sum is σ = 2800044. Its totient is φ = 333408.

The previous prime is 1000367. The next prime is 1000381. The reversal of 1000368 is 8630001.

1000368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10003682 = 2001472270848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1000368.

It is not an unprimeable number, because it can be changed into a prime (1000367) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3330 + ... + 3617.

21000368 is an apocalyptic number.

1000368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1000368 is an abundant number, since it is smaller than the sum of its proper divisors (1799676).

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

1000368 is a wasteful number, since it uses less digits than its factorization.

1000368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6961 (or 6952 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1000368 is about 1000.1839830751. The cubic root of 1000368 is about 100.0122651623.

Adding to 1000368 its reverse (8630001), we get a palindrome (9630369).

The spelling of 1000368 in words is "one million, three hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 6947 13894 20841 27788 41682 55576 62523 83364 111152 125046 166728 250092 333456 500184 1000368