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3024112 = 247133167
BaseRepresentation
bin1011100010010011110000
312200122022011
423202103300
51233232422
6144452304
734463440
oct13422360
95618264
103024112
111786073
12101a094
1381b620
1458a120
153eb077
hex2e24f0

3024112 has 80 divisors (see below), whose sum is σ = 7555072. Its totient is φ = 1140480.

The previous prime is 3024101. The next prime is 3024137. The reversal of 3024112 is 2114203.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 3024092 and 3024101.

It is a congruent 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, 45103 + ... + 45169.

Almost surely, 23024112 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 3024112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777536).

3024112 is an abundant number, since it is smaller than the sum of its proper divisors (4530960).

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

3024112 is a wasteful number, since it uses less digits than its factorization.

3024112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 3024112 is about 1738.9974123040. The cubic root of 3024112 is about 144.6103211190.

Adding to 3024112 its reverse (2114203), we get a palindrome (5138315).

Subtracting from 3024112 its reverse (2114203), we obtain a palindrome (909909).

It can be divided in two parts, 3024 and 112, that added together give a square (3136 = 562).

The spelling of 3024112 in words is "three million, twenty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 67 91 104 112 124 134 182 208 217 248 268 364 403 434 469 496 536 728 806 868 871 938 1072 1456 1612 1736 1742 1876 2077 2821 3224 3472 3484 3752 4154 5642 6097 6448 6968 7504 8308 11284 12194 13936 14539 16616 22568 24388 27001 29078 33232 45136 48776 54002 58156 97552 108004 116312 189007 216008 232624 378014 432016 756028 1512056 3024112