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3305501316 = 22321329243553
BaseRepresentation
bin1100010100000101…
…1111001010000100
322112100212212100200
43011001133022010
523232202020231
61304000210500
7144625204035
oct30501371204
98470785320
103305501316
111446962077
12783009a30
13408a8a350
1423500ca8c
151452dcbe6
hexc505f284

3305501316 has 72 divisors (see below), whose sum is σ = 9308633880. Its totient is φ = 982001664.

The previous prime is 3305501279. The next prime is 3305501317. The reversal of 3305501316 is 6131055033.

It can be written as a sum of positive squares in 4 ways, for example, as 94012416 + 3211488900 = 9696^2 + 56670^2 .

It is a super-3 number, since 3×33055013163 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3305501316.

It is not an unprimeable number, because it can be changed into a prime (3305501317) 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 23 ways as a sum of consecutive naturals, for example, 108205 + ... + 135348.

Almost surely, 23305501316 is an apocalyptic number.

3305501316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3305501316 is an abundant number, since it is smaller than the sum of its proper divisors (6003132564).

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

3305501316 is a wasteful number, since it uses less digits than its factorization.

3305501316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243605 (or 243600 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 3305501316 is about 57493.4893357500. The cubic root of 3305501316 is about 1489.6324057533.

Adding to 3305501316 its reverse (6131055033), we get a palindrome (9436556349).

The spelling of 3305501316 in words is "three billion, three hundred five million, five hundred one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 2262 3393 4524 6786 13572 243553 487106 730659 974212 1461318 2191977 2922636 3166189 4383954 6332378 7063037 8767908 9498567 12664756 14126074 18997134 21189111 28252148 28495701 37994268 42378222 56991402 63567333 84756444 91819481 113982804 127134666 183638962 254269332 275458443 367277924 550916886 826375329 1101833772 1652750658 3305501316