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1008324 = 223237757
BaseRepresentation
bin11110110001011000100
31220020011100
43312023010
5224231244
633340100
711366502
oct3661304
91806140
101008324
11629629
12407630
13293c55
141c3672
1514db69
hexf62c4

1008324 has 36 divisors (see below), whose sum is σ = 2621164. Its totient is φ = 326592.

The previous prime is 1008323. The next prime is 1008331. The reversal of 1008324 is 4238001.

It is a happy number.

1008324 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 2 ways, for example, as 777924 + 230400 = 882^2 + 480^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 1008297 and 1008306.

It is not an unprimeable number, because it can be changed into a prime (1008323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 954 + ... + 1710.

21008324 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 1008324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310582).

1008324 is an abundant number, since it is smaller than the sum of its proper divisors (1612840).

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

1008324 is a wasteful number, since it uses less digits than its factorization.

1008324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1008324 is about 1004.1533747391. The cubic root of 1008324 is about 100.2767003298.

The spelling of 1008324 in words is "one million, eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 757 1332 1514 2271 3028 4542 6813 9084 13626 27252 28009 56018 84027 112036 168054 252081 336108 504162 1008324