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3068320 = 255127151
BaseRepresentation
bin1011101101000110100000
312202212221111
423231012200
51241141240
6145433104
735036353
oct13550640
95685844
103068320
111806302
12103b794
13835798
1459c29a
154091ea
hex2ed1a0

3068320 has 48 divisors (see below), whose sum is σ = 7354368. Its totient is φ = 1209600.

The previous prime is 3068311. The next prime is 3068333. The reversal of 3068320 is 238603.

It is a junction number, because it is equal to n+sod(n) for n = 3068291 and 3068300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20245 + ... + 20395.

It is an arithmetic number, because the mean of its divisors is an integer number (153216).

Almost surely, 23068320 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 3068320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677184).

3068320 is an abundant number, since it is smaller than the sum of its proper divisors (4286048).

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

3068320 is a wasteful number, since it uses less digits than its factorization.

3068320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3068320 is about 1751.6620678658. The cubic root of 3068320 is about 145.3115773249.

It can be divided in two parts, 30683 and 20, that added together give a palindrome (30703).

The spelling of 3068320 in words is "three million, sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 127 151 160 254 302 508 604 635 755 1016 1208 1270 1510 2032 2416 2540 3020 4064 4832 5080 6040 10160 12080 19177 20320 24160 38354 76708 95885 153416 191770 306832 383540 613664 767080 1534160 3068320