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3005628 = 223412149
BaseRepresentation
bin1011011101110010111100
312122200221120
423131302330
51232140003
6144230540
734355523
oct13356274
95580846
103005628
11177319a
12100b450
138130a2
145834ba
153e5853
hex2ddcbc

3005628 has 36 divisors (see below), whose sum is σ = 7236600. Its totient is φ = 970880.

The previous prime is 3005627. The next prime is 3005633. The reversal of 3005628 is 8265003.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3005598 and 3005607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005623) 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, 20098 + ... + 20246.

Almost surely, 23005628 is an apocalyptic number.

It is an amenable number.

3005628 is an abundant number, since it is smaller than the sum of its proper divisors (4230972).

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

3005628 is a wasteful number, since it uses less digits than its factorization.

3005628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3005628 is about 1733.6747099730. The cubic root of 3005628 is about 144.3150893646.

The spelling of 3005628 in words is "three million, five thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 41 82 123 149 164 246 298 447 492 596 894 1681 1788 3362 5043 6109 6724 10086 12218 18327 20172 24436 36654 73308 250469 500938 751407 1001876 1502814 3005628