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3000528 = 243267311
BaseRepresentation
bin1011011100100011010000
312122102221200
423130203100
51232004103
6144151200
734334616
oct13344320
95572850
103000528
11176a383
121008500
1381097b
145816b6
153e40a3
hex2dc8d0

3000528 has 60 divisors (see below), whose sum is σ = 8550048. Its totient is φ = 982080.

The previous prime is 3000523. The next prime is 3000539. The reversal of 3000528 is 8250003.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3000528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000523) 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, 9493 + ... + 9803.

Almost surely, 23000528 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 3000528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4275024).

3000528 is an abundant number, since it is smaller than the sum of its proper divisors (5549520).

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

3000528 is a wasteful number, since it uses less digits than its factorization.

3000528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3000528 is about 1732.2032213340. The cubic root of 3000528 is about 144.2334177319.

The spelling of 3000528 in words is "three million, five hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 311 402 536 603 622 804 933 1072 1206 1244 1608 1866 2412 2488 2799 3216 3732 4824 4976 5598 7464 9648 11196 14928 20837 22392 41674 44784 62511 83348 125022 166696 187533 250044 333392 375066 500088 750132 1000176 1500264 3000528