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3105320 = 235292677
BaseRepresentation
bin1011110110001000101000
312211202200212
423312020220
51243332240
6150320252
735252261
oct13661050
95752625
103105320
111831089
121059088
1384958a
145ab968
15415165
hex2f6228

3105320 has 32 divisors (see below), whose sum is σ = 7230600. Its totient is φ = 1198848.

The previous prime is 3105317. The next prime is 3105329. The reversal of 3105320 is 235013.

It can be written as a sum of positive squares in 4 ways, for example, as 1582564 + 1522756 = 1258^2 + 1234^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3105295 and 3105304.

It is not an unprimeable number, because it can be changed into a prime (3105329) 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, 179 + ... + 2498.

Almost surely, 23105320 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 3105320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615300).

3105320 is an abundant number, since it is smaller than the sum of its proper divisors (4125280).

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

3105320 is a wasteful number, since it uses less digits than its factorization.

3105320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 3105320 is about 1762.1918170279. The cubic root of 3105320 is about 145.8933354905.

The spelling of 3105320 in words is "three million, one hundred five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 2677 5354 10708 13385 21416 26770 53540 77633 107080 155266 310532 388165 621064 776330 1552660 3105320