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3283342812 = 2232416136467
BaseRepresentation
bin1100001110110011…
…1101010111011100
322110211012002121100
43003230331113130
523211013432222
61301445233100
7144235645011
oct30354752734
98424162540
103283342812
1114353a8062
12777702790
134042cc5c9
142320c1708
151433b24ac
hexc3b3d5dc

3283342812 has 72 divisors (see below), whose sum is σ = 8641603152. Its totient is φ = 1050220800.

The previous prime is 3283342757. The next prime is 3283342817. The reversal of 3283342812 is 2182433823.

It is a super-2 number, since 2×32833428122 = 21560680042224134688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3283342817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71803 + ... + 108269.

It is an arithmetic number, because the mean of its divisors is an integer number (120022266).

Almost surely, 23283342812 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 3283342812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320801576).

3283342812 is an abundant number, since it is smaller than the sum of its proper divisors (5358260340).

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

3283342812 is a wasteful number, since it uses less digits than its factorization.

3283342812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36579 (or 36574 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3283342812 is about 57300.4608358432. The cubic root of 3283342812 is about 1486.2963451418.

The spelling of 3283342812 in words is "three billion, two hundred eighty-three million, three hundred forty-two thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 61 82 122 123 164 183 244 246 366 369 492 549 732 738 1098 1476 2196 2501 5002 7503 10004 15006 22509 30012 36467 45018 72934 90036 109401 145868 218802 328203 437604 656406 1312812 1495147 2224487 2990294 4448974 4485441 5980588 6673461 8897948 8970882 13346922 13456323 17941764 20020383 26693844 26912646 40040766 53825292 80081532 91203967 182407934 273611901 364815868 547223802 820835703 1094447604 1641671406 3283342812