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3042288 = 243237571
BaseRepresentation
bin1011100110101111110000
312201120020100
423212233300
51234323123
6145112400
734600434
oct13465760
95646210
103042288
111798797
121028700
13826992
145929c4
15401643
hex2e6bf0

3042288 has 60 divisors (see below), whose sum is σ = 8759608. Its totient is φ = 984960.

The previous prime is 3042283. The next prime is 3042307. The reversal of 3042288 is 8822403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3042283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5043 + ... + 5613.

Almost surely, 23042288 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 3042288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379804).

3042288 is an abundant number, since it is smaller than the sum of its proper divisors (5717320).

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

3042288 is a wasteful number, since it uses less digits than its factorization.

3042288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3042288 is about 1744.2155830057. The cubic root of 3042288 is about 144.8994626102.

It can be divided in two parts, 3042 and 288, that multiplied together give a square (876096 = 9362).

The spelling of 3042288 in words is "three million, forty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 571 592 666 888 1142 1332 1713 1776 2284 2664 3426 4568 5139 5328 6852 9136 10278 13704 20556 21127 27408 41112 42254 63381 82224 84508 126762 169016 190143 253524 338032 380286 507048 760572 1014096 1521144 3042288