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3042072 = 23321123167
BaseRepresentation
bin1011100110101100011000
312201112221100
423212230120
51234321242
6145111400
734600005
oct13465430
95645840
103042072
111798610
121028560
13826857
145928ac
1540154c
hex2e6b18

3042072 has 96 divisors (see below), whose sum is σ = 9434880. Its totient is φ = 876480.

The previous prime is 3042059. The next prime is 3042079. The reversal of 3042072 is 2702403.

It is a happy number.

3042072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3042079) 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 23 ways as a sum of consecutive naturals, for example, 18133 + ... + 18299.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

Almost surely, 23042072 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 3042072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440).

3042072 is an abundant number, since it is smaller than the sum of its proper divisors (6392808).

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

3042072 is a wasteful number, since it uses less digits than its factorization.

3042072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 3042072 is about 1744.1536629552. The cubic root of 3042072 is about 144.8960332806.

Adding to 3042072 its reverse (2702403), we get a palindrome (5744475).

The spelling of 3042072 in words is "three million, forty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 66 69 72 88 92 99 132 138 167 184 198 207 253 264 276 334 396 414 501 506 552 668 759 792 828 1002 1012 1336 1503 1518 1656 1837 2004 2024 2277 3006 3036 3674 3841 4008 4554 5511 6012 6072 7348 7682 9108 11022 11523 12024 14696 15364 16533 18216 22044 23046 30728 33066 34569 42251 44088 46092 66132 69138 84502 92184 126753 132264 138276 169004 253506 276552 338008 380259 507012 760518 1014024 1521036 3042072