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3283804116 = 22321722313723
BaseRepresentation
bin1100001110111010…
…1101111111010100
322110212001112101200
43003232231333110
523211123212431
61301503152500
7144242605635
oct30356557724
98425045350
103283804116
1114356926aa
127778a5730
13404431578
142321a188c
15143453ee6
hexc3badfd4

3283804116 has 108 divisors (see below), whose sum is σ = 9201777312. Its totient is φ = 985349376.

The previous prime is 3283804109. The next prime is 3283804141. The reversal of 3283804116 is 6114083823.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 232431 + ... + 246153.

Almost surely, 23283804116 is an apocalyptic number.

3283804116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3283804116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4600888656).

3283804116 is an abundant number, since it is smaller than the sum of its proper divisors (5917973196).

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

3283804116 is a wasteful number, since it uses less digits than its factorization.

3283804116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13790 (or 13768 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3283804116 is about 57304.4860024065. The cubic root of 3283804116 is about 1486.3659492395.

Adding to 3283804116 its reverse (6114083823), we get a palindrome (9397887939).

The spelling of 3283804116 in words is "three billion, two hundred eighty-three million, eight hundred four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 138 153 204 207 276 289 306 391 414 578 612 782 828 867 1156 1173 1564 1734 2346 2601 3468 3519 4692 5202 6647 7038 10404 13294 13723 14076 19941 26588 27446 39882 41169 54892 59823 79764 82338 119646 123507 164676 233291 239292 247014 315629 466582 494028 631258 699873 933164 946887 1262516 1399746 1893774 2099619 2799492 2840661 3787548 3965947 4199238 5365693 5681322 7931894 8398476 10731386 11362644 11897841 15863788 16097079 21462772 23795682 32194158 35693523 47591364 48291237 64388316 71387046 91216781 96582474 142774092 182433562 193164948 273650343 364867124 547300686 820951029 1094601372 1641902058 3283804116