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3130008 = 233731601
BaseRepresentation
bin1011111100001010011000
312220000120020
423330022120
51300130013
6151030440
735414250
oct13741230
95800506
103130008
111848692
12106b420
1385789b
145b6960
1541c623
hex2fc298

3130008 has 64 divisors (see below), whose sum is σ = 9246720. Its totient is φ = 864000.

The previous prime is 3130007. The next prime is 3130019. The reversal of 3130008 is 8000313.

3130008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130007) 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 15 ways as a sum of consecutive naturals, for example, 4908 + ... + 5508.

It is an arithmetic number, because the mean of its divisors is an integer number (144480).

Almost surely, 23130008 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 3130008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623360).

3130008 is an abundant number, since it is smaller than the sum of its proper divisors (6116712).

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

3130008 is a wasteful number, since it uses less digits than its factorization.

3130008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3130008 is about 1769.1828622276. The cubic root of 3130008 is about 146.2789437930.

The spelling of 3130008 in words is "three million, one hundred thirty thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 601 651 744 868 1202 1302 1736 1803 2404 2604 3606 4207 4808 5208 7212 8414 12621 14424 16828 18631 25242 33656 37262 50484 55893 74524 100968 111786 130417 149048 223572 260834 391251 447144 521668 782502 1043336 1565004 3130008