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3013032 = 23311101113
BaseRepresentation
bin1011011111100110101000
312200002002210
423133212220
51232404112
6144325120
734416231
oct13374650
95602083
103013032
111778810
1210137a0
13816579
14586088
153e7b3c
hex2df9a8

3013032 has 64 divisors (see below), whose sum is σ = 8372160. Its totient is φ = 896000.

The previous prime is 3013019. The next prime is 3013037. The reversal of 3013032 is 2303103.

3013032 = 1042 + 1052 + ... + 2162.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3012999 and 3013017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013037) 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 15 ways as a sum of consecutive naturals, for example, 26608 + ... + 26720.

It is an arithmetic number, because the mean of its divisors is an integer number (130815).

Almost surely, 23013032 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 3013032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186080).

3013032 is an abundant number, since it is smaller than the sum of its proper divisors (5359128).

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

3013032 is a wasteful number, since it uses less digits than its factorization.

3013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 3013032 is about 1735.8087452251. The cubic root of 3013032 is about 144.4334930992.

Adding to 3013032 its reverse (2303103), we get a palindrome (5316135).

It can be divided in two parts, 301 and 3032, that added together give a palindrome (3333).

The spelling of 3013032 in words is "three million, thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 113 132 202 226 264 303 339 404 452 606 678 808 904 1111 1212 1243 1356 2222 2424 2486 2712 3333 3729 4444 4972 6666 7458 8888 9944 11413 13332 14916 22826 26664 29832 34239 45652 68478 91304 125543 136956 251086 273912 376629 502172 753258 1004344 1506516 3013032