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3000504 = 2331359163
BaseRepresentation
bin1011011100100010111000
312122102220210
423130202320
51232004004
6144151120
734334553
oct13344270
95572823
103000504
11176a361
1210084a0
13810960
1458169a
153e4089
hex2dc8b8

3000504 has 64 divisors (see below), whose sum is σ = 8265600. Its totient is φ = 902016.

The previous prime is 3000479. The next prime is 3000523. The reversal of 3000504 is 4050003.

3000504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3000504.

It is a congruent number.

It is an unprimeable number.

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, 18327 + ... + 18489.

It is an arithmetic number, because the mean of its divisors is an integer number (129150).

Almost surely, 23000504 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 3000504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132800).

3000504 is an abundant number, since it is smaller than the sum of its proper divisors (5265096).

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

3000504 is a wasteful number, since it uses less digits than its factorization.

3000504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 3000504 is about 1732.1962937266. The cubic root of 3000504 is about 144.2330331761.

Adding to 3000504 its reverse (4050003), we get a palindrome (7050507).

The spelling of 3000504 in words is "three million, five hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 59 78 104 118 156 163 177 236 312 326 354 472 489 652 708 767 978 1304 1416 1534 1956 2119 2301 3068 3912 4238 4602 6136 6357 8476 9204 9617 12714 16952 18408 19234 25428 28851 38468 50856 57702 76936 115404 125021 230808 250042 375063 500084 750126 1000168 1500252 3000504