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3280265244 = 2232235983809
BaseRepresentation
bin1100001110000100…
…1110000000011100
322110121101201222100
43003201032000130
523204221441434
61301255245100
7144200536344
oct30341160034
98417351870
103280265244
111433695913
12776679790
13403792869
1423191dd24
15142ea5699
hexc384e01c

3280265244 has 144 divisors (see below), whose sum is σ = 8915961600. Its totient is φ = 1014511872.

The previous prime is 3280265189. The next prime is 3280265251. The reversal of 3280265244 is 4425620823.

3280265244 is a `hidden beast` number, since 32 + 80 + 26 + 524 + 4 = 666.

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 = 3280265199 and 3280265208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4054312 + ... + 4055120.

It is an arithmetic number, because the mean of its divisors is an integer number (61916400).

Almost surely, 23280265244 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 3280265244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457980800).

3280265244 is an abundant number, since it is smaller than the sum of its proper divisors (5635696356).

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

3280265244 is a wasteful number, since it uses less digits than its factorization.

3280265244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 3280265244 is about 57273.5998868589. The cubic root of 3280265244 is about 1485.8318177537.

The spelling of 3280265244 in words is "three billion, two hundred eighty million, two hundred sixty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 59 69 83 92 118 138 166 177 207 236 249 276 332 354 414 498 531 708 747 809 828 996 1062 1357 1494 1618 1909 2124 2427 2714 2988 3236 3818 4071 4854 4897 5428 5727 7281 7636 8142 9708 9794 11454 12213 14562 14691 16284 17181 18607 19588 22908 24426 29124 29382 34362 37214 44073 47731 48852 55821 58764 67147 68724 74428 88146 95462 111642 112631 134294 143193 167463 176292 190924 201441 223284 225262 268588 286386 334926 337893 402882 429579 450524 572772 604323 669852 675786 805764 859158 1013679 1097813 1208646 1351572 1544381 1718316 2027358 2195626 2417292 3088762 3293439 3961673 4054716 4391252 4633143 6177524 6586878 7923346 9266286 9880317 11885019 13173756 13899429 15846692 18532572 19760634 23770038 27798858 35655057 39521268 47540076 55597716 71310114 91118479 142620228 182236958 273355437 364473916 546710874 820066311 1093421748 1640132622 3280265244