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3012048 = 2432131609
BaseRepresentation
bin1011011111010111010000
312200000202100
423133113100
51232341143
6144320400
734413324
oct13372720
95600670
103012048
111777aa6
121013100
13815ca0
14585984
153e76d3
hex2df5d0

3012048 has 60 divisors (see below), whose sum is σ = 9083620. Its totient is φ = 926208.

The previous prime is 3012041. The next prime is 3012049. The reversal of 3012048 is 8402103.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1871424 + 1140624 = 1368^2 + 1068^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 3012048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3012041) 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 11 ways as a sum of consecutive naturals, for example, 1068 + ... + 2676.

Almost surely, 23012048 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 3012048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4541810).

3012048 is an abundant number, since it is smaller than the sum of its proper divisors (6071572).

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

3012048 is a wasteful number, since it uses less digits than its factorization.

3012048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3012048 is about 1735.5252807147. The cubic root of 3012048 is about 144.4177682931.

The spelling of 3012048 in words is "three million, twelve thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1609 1872 3218 4827 6436 9654 12872 14481 19308 20917 25744 28962 38616 41834 57924 62751 77232 83668 115848 125502 167336 188253 231696 251004 334672 376506 502008 753012 1004016 1506024 3012048