Search a number
-
+
3038112 = 2532711137
BaseRepresentation
bin1011100101101110100000
312201100111200
423211232200
51234204422
6145041200
734552320
oct13455640
95640450
103038112
111795640
121026200
13824acc
14591280
154002ac
hex2e5ba0

3038112 has 144 divisors (see below), whose sum is σ = 10850112. Its totient is φ = 783360.

The previous prime is 3038111. The next prime is 3038129. The reversal of 3038112 is 2118303.

3038112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (3038111) 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, 22108 + ... + 22244.

It is an arithmetic number, because the mean of its divisors is an integer number (75348).

Almost surely, 23038112 is an apocalyptic number.

3038112 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 3038112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425056).

3038112 is an abundant number, since it is smaller than the sum of its proper divisors (7812000).

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

3038112 is a wasteful number, since it uses less digits than its factorization.

3038112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3038112 is about 1743.0180721955. The cubic root of 3038112 is about 144.8331334493.

The spelling of 3038112 in words is "three million, thirty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 137 144 154 168 176 198 224 231 252 264 274 288 308 336 352 396 411 462 504 528 548 616 672 693 792 822 924 959 1008 1056 1096 1232 1233 1386 1507 1584 1644 1848 1918 2016 2192 2464 2466 2772 2877 3014 3168 3288 3696 3836 4384 4521 4932 5544 5754 6028 6576 7392 7672 8631 9042 9864 10549 11088 11508 12056 13152 13563 15344 17262 18084 19728 21098 22176 23016 24112 27126 30688 31647 34524 36168 39456 42196 46032 48224 54252 63294 69048 72336 84392 92064 94941 108504 126588 138096 144672 168784 189882 217008 253176 276192 337568 379764 434016 506352 759528 1012704 1519056 3038112