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3286001436 = 22319611911237
BaseRepresentation
bin1100001111011100…
…0110011100011100
322111000012011112220
43003313012130130
523212204021221
61302022225340
7144300360054
oct30367063434
98430164486
103286001436
111436953573
12778585250
13404a20763
142325b4564
1514373a0c6
hexc3dc671c

3286001436 has 96 divisors (see below), whose sum is σ = 8252805120. Its totient is φ = 1014508800.

The previous prime is 3286001423. The next prime is 3286001461. The reversal of 3286001436 is 6341006823.

It is a junction number, because it is equal to n+sod(n) for n = 3286001397 and 3286001406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2655810 + ... + 2657046.

It is an arithmetic number, because the mean of its divisors is an integer number (85966720).

Almost surely, 23286001436 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 3286001436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126402560).

3286001436 is an abundant number, since it is smaller than the sum of its proper divisors (4966803684).

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

3286001436 is a wasteful number, since it uses less digits than its factorization.

3286001436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3286001436 is about 57323.6551172376. The cubic root of 3286001436 is about 1486.6974035843.

The spelling of 3286001436 in words is "three billion, two hundred eighty-six million, one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 19 38 57 61 76 114 122 183 191 228 244 366 382 573 732 764 1146 1159 1237 2292 2318 2474 3477 3629 3711 4636 4948 6954 7258 7422 10887 11651 13908 14516 14844 21774 23302 23503 34953 43548 46604 47006 69906 70509 75457 94012 139812 141018 150914 221369 226371 236267 282036 301828 442738 452742 472534 664107 708801 885476 905484 945068 1328214 1417602 1433683 2656428 2835204 2867366 4301049 4489073 5734732 8602098 8978146 13467219 14412287 17204196 17956292 26934438 28824574 43236861 53868876 57649148 86473722 172947444 273833453 547666906 821500359 1095333812 1643000718 3286001436