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3324142140 = 22351120892411
BaseRepresentation
bin1100011000100010…
…0110001000111100
322120122221220202120
43012020212020330
523301440022030
61305503522540
7145242512334
oct30610461074
98518856676
103324142140
111456434210
127892b9450
1340c8b5c17
142376a20c4
15146c71010
hexc622623c

3324142140 has 96 divisors (see below), whose sum is σ = 10162817280. Its totient is φ = 805132800.

The previous prime is 3324142127. The next prime is 3324142147. The reversal of 3324142140 is 412414233.

It is a super-2 number, since 2×33241421402 = 22099841933847559200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3324142140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3324142147) by changing a digit.

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, 1377535 + ... + 1379945.

It is an arithmetic number, because the mean of its divisors is an integer number (105862680).

Almost surely, 23324142140 is an apocalyptic number.

3324142140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3324142140 is an abundant number, since it is smaller than the sum of its proper divisors (6838675140).

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

3324142140 is a wasteful number, since it uses less digits than its factorization.

3324142140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4523 (or 4521 counting only the distinct ones).

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

The square root of 3324142140 is about 57655.3739039129. The cubic root of 3324142140 is about 1492.4273364005.

Adding to 3324142140 its reverse (412414233), we get a palindrome (3736556373).

The spelling of 3324142140 in words is "three billion, three hundred twenty-four million, one hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 2089 2411 4178 4822 6267 7233 8356 9644 10445 12055 12534 14466 20890 22979 24110 25068 26521 28932 31335 36165 41780 45958 48220 53042 62670 68937 72330 79563 91916 106084 114895 125340 132605 137874 144660 159126 229790 265210 275748 318252 344685 397815 459580 530420 689370 795630 1378740 1591260 5036579 10073158 15109737 20146316 25182895 30219474 50365790 55402369 60438948 75548685 100731580 110804738 151097370 166207107 221609476 277011845 302194740 332414214 554023690 664828428 831035535 1108047380 1662071070 3324142140