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3304431312 = 243713258193
BaseRepresentation
bin1100010011110101…
…1001111011010000
322112021212111120220
43010331121323100
523231413300222
61303521233040
7144613126350
oct30475317320
98467774526
103304431312
1114462a1176
12782792780
134087a4300
14234c10b60
1514517ab5c
hexc4f59ed0

3304431312 has 120 divisors (see below), whose sum is σ = 10564305984. Its totient is φ = 871483392.

The previous prime is 3304431289. The next prime is 3304431323. The reversal of 3304431312 is 2131344033.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 27688 + ... + 85880.

Almost surely, 23304431312 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 3304431312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5282152992).

3304431312 is an abundant number, since it is smaller than the sum of its proper divisors (7259874672).

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

3304431312 is a wasteful number, since it uses less digits than its factorization.

3304431312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58237 (or 58218 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3304431312 is about 57484.1831463230. The cubic root of 3304431312 is about 1489.4716550838.

Adding to 3304431312 its reverse (2131344033), we get a palindrome (5435775345).

The spelling of 3304431312 in words is "three billion, three hundred four million, four hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 169 182 208 273 312 336 338 364 507 546 624 676 728 1014 1092 1183 1352 1456 2028 2184 2366 2704 3549 4056 4368 4732 7098 8112 9464 14196 18928 28392 56784 58193 116386 174579 232772 349158 407351 465544 698316 756509 814702 931088 1222053 1396632 1513018 1629404 2269527 2444106 2793264 3026036 3258808 4539054 4888212 5295563 6052072 6517616 9078108 9776424 9834617 10591126 12104144 15886689 18156216 19552848 19669234 21182252 29503851 31773378 36312432 39338468 42364504 59007702 63546756 68842319 78676936 84729008 118015404 127093512 137684638 157353872 206526957 236030808 254187024 275369276 413053914 472061616 550738552 826107828 1101477104 1652215656 3304431312