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3275813268 = 2232731320407
BaseRepresentation
bin1100001101000000…
…1111000110010100
322110022000120000100
43003100033012110
523202102011033
61301020014100
7144114645000
oct30320170624
98408016010
103275813268
111431124aa2
12775091330
13402894360
142310c1700
151428c6513
hexc340f194

3275813268 has 144 divisors (see below), whose sum is σ = 10399916800. Its totient is φ = 863908416.

The previous prime is 3275813267. The next prime is 3275813273. The reversal of 3275813268 is 8623185723.

3275813268 is a `hidden beast` number, since 3 + 2 + 7 + 581 + 3 + 2 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3275813263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150321 + ... + 170727.

Almost surely, 23275813268 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 3275813268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5199958400).

3275813268 is an abundant number, since it is smaller than the sum of its proper divisors (7124103532).

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

3275813268 is a wasteful number, since it uses less digits than its factorization.

3275813268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20451 (or 20432 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 3275813268 is about 57234.7208257365. The cubic root of 3275813268 is about 1485.1593231093.

The spelling of 3275813268 in words is "three billion, two hundred seventy-five million, eight hundred thirteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 343 364 441 468 546 588 637 686 819 882 1029 1092 1274 1372 1638 1764 1911 2058 2548 3087 3276 3822 4116 4459 5733 6174 7644 8918 11466 12348 13377 17836 20407 22932 26754 40131 40814 53508 61221 80262 81628 122442 142849 160524 183663 244884 265291 285698 367326 428547 530582 571396 734652 795873 857094 999943 1061164 1285641 1591746 1714188 1857037 1999886 2387619 2571282 2999829 3183492 3714074 3999772 4775238 5142564 5571111 5999658 6999601 7428148 8999487 9550476 11142222 11999316 12999259 13999202 16713333 17998974 20998803 22284444 25998518 27998404 33426666 35997948 38997777 41997606 51997036 62996409 66853332 77995554 83995212 90994813 116993331 125992818 155991108 181989626 233986662 251985636 272984439 363979252 467973324 545968878 818953317 1091937756 1637906634 3275813268