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3000108 = 2232937233
BaseRepresentation
bin1011011100011100101100
312122102101010
423130130230
51232000413
6144145220
734333446
oct13343454
95572333
103000108
11176a031
121008210
13810717
14581496
153e3dc3
hex2dc72c

3000108 has 48 divisors (see below), whose sum is σ = 7469280. Its totient is φ = 935424.

The previous prime is 3000103. The next prime is 3000131. The reversal of 3000108 is 8010003.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3000093 and 3000102.

It is not an unprimeable number, because it can be changed into a prime (3000103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12760 + ... + 12992.

It is an arithmetic number, because the mean of its divisors is an integer number (155610).

Almost surely, 23000108 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 3000108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734640).

3000108 is an abundant number, since it is smaller than the sum of its proper divisors (4469172).

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

3000108 is a wasteful number, since it uses less digits than its factorization.

3000108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3000108 is about 1732.0819842028. The cubic root of 3000108 is about 144.2266877095.

The spelling of 3000108 in words is "three million, one hundred eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 29 37 58 74 87 111 116 148 174 222 233 348 444 466 699 932 1073 1398 2146 2796 3219 4292 6438 6757 8621 12876 13514 17242 20271 25863 27028 34484 40542 51726 81084 103452 250009 500018 750027 1000036 1500054 3000108