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3324144012 = 2237193167187
BaseRepresentation
bin1100011000100010…
…0110100110001100
322120122222000022220
43012020212212030
523301440102022
61305503535340
7145242520650
oct30610464614
98518860286
103324144012
111456435662
127892ba550
1340c8b6a27
142376a2a60
15146c7185c
hexc622698c

3324144012 has 96 divisors (see below), whose sum is σ = 9632071680. Its totient is φ = 870730560.

The previous prime is 3324144001. The next prime is 3324144059. The reversal of 3324144012 is 2104414233.

It is a super-2 number, since 2×33241440122 = 22099866825030912288, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15883 + ... + 83069.

It is an arithmetic number, because the mean of its divisors is an integer number (100334080).

Almost surely, 23324144012 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 3324144012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4816035840).

3324144012 is an abundant number, since it is smaller than the sum of its proper divisors (6307927668).

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

3324144012 is a wasteful number, since it uses less digits than its factorization.

3324144012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67251 (or 67249 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3324144012 is about 57655.3901383036. The cubic root of 3324144012 is about 1492.4276165553.

Adding to 3324144012 its reverse (2104414233), we get a palindrome (5428558245).

The spelling of 3324144012 in words is "three billion, three hundred twenty-four million, one hundred forty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 31 38 42 57 62 76 84 93 114 124 133 186 217 228 266 372 399 434 532 589 651 798 868 1178 1302 1596 1767 2356 2604 3534 4123 7068 8246 12369 16492 24738 49476 67187 134374 201561 268748 403122 470309 806244 940618 1276553 1410927 1881236 2082797 2553106 2821854 3829659 4165594 5106212 5643708 6248391 7659318 8331188 8935871 12496782 14579579 15318636 17871742 24993564 26807613 29159158 35743484 39573143 43738737 53615226 58318316 79146286 87477474 107230452 118719429 158292572 174954948 237438858 277012001 474877716 554024002 831036003 1108048004 1662072006 3324144012