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3012209928 = 2332721365677
BaseRepresentation
bin1011001110001010…
…1010110100001000
321202221000010012200
42303202222310020
522132111204203
61214522040200
7134434235100
oct26342526410
97687003180
103012209928
11130634a9a2
12700949060
1339009ac50
142080a4200
151296a69a3
hexb38aad08

3012209928 has 144 divisors (see below), whose sum is σ = 10220153580. Its totient is φ = 794416896.

The previous prime is 3012209917. The next prime is 3012209929. The reversal of 3012209928 is 8299022103.

It can be written as a sum of positive squares in 2 ways, for example, as 2586943044 + 425266884 = 50862^2 + 20622^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3012209892 and 3012209901.

It is not an unprimeable number, because it can be changed into a prime (3012209929) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13026 + ... + 78702.

Almost surely, 23012209928 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 3012209928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110076790).

3012209928 is an abundant number, since it is smaller than the sum of its proper divisors (7207943652).

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

3012209928 is a wasteful number, since it uses less digits than its factorization.

3012209928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65716 (or 65702 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3012209928 is about 54883.6034531261. The cubic root of 3012209928 is about 1444.2035621792.

The spelling of 3012209928 in words is "three billion, twelve million, two hundred nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1176 1274 1638 1764 1911 2184 2548 3276 3528 3822 5096 5733 6552 7644 11466 15288 22932 45864 65677 131354 197031 262708 394062 459739 525416 591093 788124 853801 919478 1182186 1379217 1576248 1707602 1838956 2364372 2561403 2758434 3218173 3415204 3677912 4137651 4728744 5122806 5516868 5976607 6436346 6830408 7684209 8275302 9654519 10245612 11033736 11953214 12872692 15368418 16550604 17929821 19309038 20491224 23906428 25745384 28963557 30736836 33101208 35859642 38618076 41836249 47812856 53789463 57927114 61473672 71719284 77236152 83672498 107578926 115854228 125508747 143438568 167344996 215157852 231708456 251017494 334689992 376526241 430315704 502034988 753052482 1004069976 1506104964 3012209928