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1008312 = 23342013
BaseRepresentation
bin11110110001010111000
31220020010220
43312022320
5224231222
633340040
711366454
oct3661270
91806126
101008312
11629618
12407620
13293c46
141c3664
1514db5c
hexf62b8

1008312 has 16 divisors (see below), whose sum is σ = 2520840. Its totient is φ = 336096.

The previous prime is 1008263. The next prime is 1008317. The reversal of 1008312 is 2138001.

It is a happy number.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1008291 and 1008300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008317) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 20983 + ... + 21030.

21008312 is an apocalyptic number.

1008312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1008312 is an abundant number, since it is smaller than the sum of its proper divisors (1512528).

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

1008312 is a wasteful number, since it uses less digits than its factorization.

1008312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42022 (or 42018 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1008312 is about 1004.1473995385. The cubic root of 1008312 is about 100.2763025326.

The spelling of 1008312 in words is "one million, eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 42013 84026 126039 168052 252078 336104 504156 1008312