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3420336216 = 2331117898563
BaseRepresentation
bin1100101111011110…
…0011000001011000
322211100222002020010
43023313203001120
524001101224331
61323221401520
7150521243463
oct31367430130
98740862203
103420336216
1114a5766250
127b55692a0
134267c62ab
142463822da
15150422e46
hexcbde3058

3420336216 has 128 divisors (see below), whose sum is σ = 9989049600. Its totient is φ = 964423680.

The previous prime is 3420336193. The next prime is 3420336221. The reversal of 3420336216 is 6126330243.

3420336216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395151 + ... + 403713.

It is an arithmetic number, because the mean of its divisors is an integer number (78039450).

Almost surely, 23420336216 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 3420336216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4994524800).

3420336216 is an abundant number, since it is smaller than the sum of its proper divisors (6568713384).

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

3420336216 is a wasteful number, since it uses less digits than its factorization.

3420336216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8689 (or 8685 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 3420336216 is about 58483.6405843549. The cubic root of 3420336216 is about 1506.6866248520.

Adding to 3420336216 its reverse (6126330243), we get a palindrome (9546666459).

The spelling of 3420336216 in words is "three billion, four hundred twenty million, three hundred thirty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 89 102 132 136 178 187 204 264 267 356 374 408 534 561 712 748 979 1068 1122 1496 1513 1958 2136 2244 2937 3026 3916 4488 4539 5874 6052 7832 8563 9078 11748 12104 16643 17126 18156 23496 25689 33286 34252 36312 49929 51378 66572 68504 94193 99858 102756 133144 145571 188386 199716 205512 282579 291142 376772 399432 436713 565158 582284 753544 762107 873426 1130316 1164568 1524214 1601281 1746852 2260632 2286321 3048428 3202562 3493704 4572642 4803843 6096856 6405124 8383177 9145284 9607686 12810248 12955819 16766354 18290568 19215372 25149531 25911638 33532708 38430744 38867457 50299062 51823276 67065416 77734914 100598124 103646552 142514009 155469828 201196248 285028018 310939656 427542027 570056036 855084054 1140112072 1710168108 3420336216