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3282235056 = 2432231516563
BaseRepresentation
bin1100001110100010…
…1110111010110000
322110202002211001100
43003220232322300
523210223010211
61301405404400
7144223352262
oct30350567260
98422084040
103282235056
111434810861
12777269700
13404002329
14231cb3b32
15143244156
hexc3a2eeb0

3282235056 has 120 divisors (see below), whose sum is σ = 9650025216. Its totient is φ = 1039420800.

The previous prime is 3282235037. The next prime is 3282235057. The reversal of 3282235056 is 6505322823.

3282235056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3282235056.

It is not an unprimeable number, because it can be changed into a prime (3282235057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 496831 + ... + 503393.

Almost surely, 23282235056 is an apocalyptic number.

3282235056 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 3282235056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825012608).

3282235056 is an abundant number, since it is smaller than the sum of its proper divisors (6367790160).

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

3282235056 is a wasteful number, since it uses less digits than its factorization.

3282235056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6751 (or 6742 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3282235056 is about 57290.7938154116. The cubic root of 3282235056 is about 1486.1291741633.

Adding to 3282235056 its reverse (6505322823), we get a palindrome (9787557879).

The spelling of 3282235056 in words is "three billion, two hundred eighty-two million, two hundred thirty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 151 184 207 276 302 368 414 453 552 604 828 906 1104 1208 1359 1656 1812 2416 2718 3312 3473 3624 5436 6563 6946 7248 10419 10872 13126 13892 19689 20838 21744 26252 27784 31257 39378 41676 52504 55568 59067 62514 78756 83352 105008 118134 125028 150949 157512 166704 236268 250056 301898 315024 452847 472536 500112 603796 905694 945072 991013 1207592 1358541 1811388 1982026 2415184 2717082 2973039 3622776 3964052 5434164 5946078 7245552 7928104 8919117 10868328 11892156 15856208 17838234 21736656 22793299 23784312 35676468 45586598 47568624 68379897 71352936 91173196 136759794 142705872 182346392 205139691 273519588 364692784 410279382 547039176 820558764 1094078352 1641117528 3282235056