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3042320 = 245172237
BaseRepresentation
bin1011100110110000010000
312201120021112
423212300100
51234323240
6145112452
734600511
oct13466020
95646245
103042320
111798816
121028728
138269b8
14592a08
15401665
hex2e6c10

3042320 has 40 divisors (see below), whose sum is σ = 7492824. Its totient is φ = 1144832.

The previous prime is 3042317. The next prime is 3042329. The reversal of 3042320 is 232403.

It can be written as a sum of positive squares in 4 ways, for example, as 1048576 + 1993744 = 1024^2 + 1412^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 3042295 and 3042304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3042329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242 + ... + 2478.

Almost surely, 23042320 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 3042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746412).

3042320 is an abundant number, since it is smaller than the sum of its proper divisors (4450504).

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

3042320 is a wasteful number, since it uses less digits than its factorization.

3042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 3042320 is about 1744.2247561596. The cubic root of 3042320 is about 144.8999706452.

Adding to 3042320 its reverse (232403), we get a palindrome (3274723).

The spelling of 3042320 in words is "three million, forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 2237 4474 8948 11185 17896 22370 35792 38029 44740 76058 89480 152116 178960 190145 304232 380290 608464 760580 1521160 3042320