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3012064 = 251143199
BaseRepresentation
bin1011011111010111100000
312200000202221
423133113200
51232341224
6144320424
734413346
oct13372740
95600687
103012064
111778010
121013114
13815cb3
14585996
153e76e4
hex2df5e0

3012064 has 48 divisors (see below), whose sum is σ = 6652800. Its totient is φ = 1330560.

The previous prime is 3012049. The next prime is 3012067. The reversal of 3012064 is 4602103.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3012067) 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, 15037 + ... + 15235.

It is an arithmetic number, because the mean of its divisors is an integer number (138600).

Almost surely, 23012064 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 3012064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326400).

3012064 is an abundant number, since it is smaller than the sum of its proper divisors (3640736).

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

3012064 is a wasteful number, since it uses less digits than its factorization.

3012064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3012064 is about 1735.5298902641. The cubic root of 3012064 is about 144.4180240084.

Adding to 3012064 its reverse (4602103), we get a palindrome (7614167).

The spelling of 3012064 in words is "three million, twelve thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 172 176 199 344 352 398 473 688 796 946 1376 1592 1892 2189 3184 3784 4378 6368 7568 8557 8756 15136 17114 17512 34228 35024 68456 70048 94127 136912 188254 273824 376508 753016 1506032 3012064