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3012672 = 263131771
BaseRepresentation
bin1011011111100001000000
312200001121110
423133201000
51232401142
6144323320
734415205
oct13374100
95601543
103012672
111778513
121013540
13816360
14585cac
153e799c
hex2df840

3012672 has 112 divisors (see below), whose sum is σ = 9217152. Its totient is φ = 860160.

The previous prime is 3012649. The next prime is 3012683. The reversal of 3012672 is 2762103.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42397 + ... + 42467.

It is an arithmetic number, because the mean of its divisors is an integer number (82296).

Almost surely, 23012672 is an apocalyptic number.

3012672 is a gapful number since it is divisible by the number (32) 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 3012672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608576).

3012672 is an abundant number, since it is smaller than the sum of its proper divisors (6204480).

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

3012672 is a wasteful number, since it uses less digits than its factorization.

3012672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 3012672 is about 1735.7050440671. The cubic root of 3012672 is about 144.4277405185.

Adding to 3012672 its reverse (2762103), we get a palindrome (5774775).

The spelling of 3012672 in words is "three million, twelve thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 71 78 96 102 104 136 142 156 192 204 208 213 221 272 284 312 408 416 426 442 544 568 624 663 816 832 852 884 923 1088 1136 1207 1248 1326 1632 1704 1768 1846 2272 2414 2496 2652 2769 3264 3408 3536 3621 3692 4544 4828 5304 5538 6816 7072 7242 7384 9656 10608 11076 13632 14144 14484 14768 15691 19312 21216 22152 28968 29536 31382 38624 42432 44304 47073 57936 59072 62764 77248 88608 94146 115872 125528 177216 188292 231744 251056 376584 502112 753168 1004224 1506336 3012672