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3033072 = 243371759
BaseRepresentation
bin1011100100011111110000
312201002121000
423210133300
51234024242
6145002000
734531530
oct13443760
95632530
103033072
111791879
121023300
13822723
1458d4c0
153eda4c
hex2e47f0

3033072 has 160 divisors (see below), whose sum is σ = 10713600. Its totient is φ = 801792.

The previous prime is 3033067. The next prime is 3033073. The reversal of 3033072 is 2703303.

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 (3033073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51379 + ... + 51437.

It is an arithmetic number, because the mean of its divisors is an integer number (66960).

Almost surely, 23033072 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 3033072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356800).

3033072 is an abundant number, since it is smaller than the sum of its proper divisors (7680528).

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

3033072 is a wasteful number, since it uses less digits than its factorization.

3033072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 18.

The square root of 3033072 is about 1741.5717039502. The cubic root of 3033072 is about 144.7530000184.

Adding to 3033072 its reverse (2703303), we get a palindrome (5736375).

It can be divided in two parts, 303 and 3072, that added together give a cube (3375 = 153).

The spelling of 3033072 in words is "three million, thirty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 59 63 68 72 84 102 108 112 118 119 126 136 144 153 168 177 189 204 216 236 238 252 272 306 336 354 357 378 408 413 432 459 472 476 504 531 612 708 714 756 816 826 918 944 952 1003 1008 1062 1071 1224 1239 1416 1428 1512 1593 1652 1836 1904 2006 2124 2142 2448 2478 2832 2856 3009 3024 3186 3213 3304 3672 3717 4012 4248 4284 4956 5712 6018 6372 6426 6608 7021 7344 7434 8024 8496 8568 9027 9912 11151 12036 12744 12852 14042 14868 16048 17136 18054 19824 21063 22302 24072 25488 25704 27081 28084 29736 36108 42126 44604 48144 51408 54162 56168 59472 63189 72216 84252 89208 108324 112336 126378 144432 168504 178416 189567 216648 252756 337008 379134 433296 505512 758268 1011024 1516536 3033072