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2945712 = 243711797
BaseRepresentation
bin1011001111001010110000
312112122202110
423033022300
51223230322
6143045320
734016040
oct13171260
95478673
102945712
111732180
12ba0840
137c1a33
14569720
153d2c0c
hex2cf2b0

2945712 has 80 divisors (see below), whose sum is σ = 9499392. Its totient is φ = 764160.

The previous prime is 2945711. The next prime is 2945731. The reversal of 2945712 is 2175492.

2945712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2945712.

It is not an unprimeable number, because it can be changed into a prime (2945711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3298 + ... + 4094.

22945712 is an apocalyptic number.

2945712 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2945712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749696).

2945712 is an abundant number, since it is smaller than the sum of its proper divisors (6553680).

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

2945712 is a wasteful number, since it uses less digits than its factorization.

2945712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 820 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 2945712 is about 1716.3076647268. The cubic root of 2945712 is about 143.3496910602.

It can be divided in two parts, 294 and 5712, that added together give a palindrome (6006).

The spelling of 2945712 in words is "two million, nine hundred forty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 797 924 1232 1594 1848 2391 3188 3696 4782 5579 6376 8767 9564 11158 12752 16737 17534 19128 22316 26301 33474 35068 38256 44632 52602 61369 66948 70136 89264 105204 122738 133896 140272 184107 210408 245476 267792 368214 420816 490952 736428 981904 1472856 2945712