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3140320 = 255191033
BaseRepresentation
bin1011111110101011100000
312220112201011
423332223200
51300442240
6151150304
735456311
oct13765340
95815634
103140320
111855407
121075394
1385c4a1
145ba608
154206ea
hex2feae0

3140320 has 48 divisors (see below), whose sum is σ = 7817040. Its totient is φ = 1188864.

The previous prime is 3140317. The next prime is 3140321. The reversal of 3140320 is 230413.

It is a self number, because there is not a number n which added to its sum of digits gives 3140320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3140321) 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 7 ways as a sum of consecutive naturals, for example, 2524 + ... + 3556.

It is an arithmetic number, because the mean of its divisors is an integer number (162855).

Almost surely, 23140320 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 3140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3908520).

3140320 is an abundant number, since it is smaller than the sum of its proper divisors (4676720).

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

3140320 is a wasteful number, since it uses less digits than its factorization.

3140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3140320 is about 1772.0948055903. The cubic root of 3140320 is about 146.4394092995.

Adding to 3140320 its reverse (230413), we get a palindrome (3370733).

The spelling of 3140320 in words is "three million, one hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1033 1520 2066 3040 4132 5165 8264 10330 16528 19627 20660 33056 39254 41320 78508 82640 98135 157016 165280 196270 314032 392540 628064 785080 1570160 3140320