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1002312 = 233213921
BaseRepresentation
bin11110100101101001000
31212220220200
43310231020
5224033222
633252200
711343123
oct3645510
91786820
101002312
11625063
12404060
132912ac
141c13ba
1514beac
hexf4b48

1002312 has 24 divisors (see below), whose sum is σ = 2714790. Its totient is φ = 334080.

The previous prime is 1002299. The next prime is 1002341. The reversal of 1002312 is 2132001.

It is a happy number.

1002312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 820836 + 181476 = 906^2 + 426^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002294 and 1002303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6889 + ... + 7032.

21002312 is an apocalyptic number.

1002312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002312 is an abundant number, since it is smaller than the sum of its proper divisors (1712478).

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

1002312 is a wasteful number, since it uses less digits than its factorization.

1002312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13933 (or 13926 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1002312 is about 1001.1553326033. The cubic root of 1002312 is about 100.0770073501.

Adding to 1002312 its reverse (2132001), we get a palindrome (3134313).

The spelling of 1002312 in words is "one million, two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 13921 27842 41763 55684 83526 111368 125289 167052 250578 334104 501156 1002312