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3341133420 = 223517592941
BaseRepresentation
bin1100011100100101…
…1010011001101100
322121211221011102020
43013021122121230
523320312232140
61311312030140
7145540110522
oct30711323154
98554834366
103341133420
111464a89a99
12792b32350
13413284a31
14239a46312
151484ca6d0
hexc725a66c

3341133420 has 144 divisors (see below), whose sum is σ = 10086920928. Its totient is φ = 823470080.

The previous prime is 3341133391. The next prime is 3341133443. The reversal of 3341133420 is 243311433.

3341133420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33411334202 = 22326345060481792800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3550150 + ... + 3551090.

It is an arithmetic number, because the mean of its divisors is an integer number (70048062).

Almost surely, 23341133420 is an apocalyptic number.

3341133420 is a gapful number since it is divisible by the number (30) 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 3341133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5043460464).

3341133420 is an abundant number, since it is smaller than the sum of its proper divisors (6745787508).

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

3341133420 is a wasteful number, since it uses less digits than its factorization.

3341133420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1027 counting only the distinct ones).

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

The square root of 3341133420 is about 57802.5381795644. The cubic root of 3341133420 is about 1494.9658526967.

Adding to 3341133420 its reverse (243311433), we get a palindrome (3584444853).

The spelling of 3341133420 in words is "three billion, three hundred forty-one million, one hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 59 60 68 85 102 118 170 177 204 236 255 295 340 354 510 590 708 885 941 1003 1020 1180 1770 1882 2006 2823 3009 3481 3540 3764 4012 4705 5015 5646 6018 6962 9410 10030 10443 11292 12036 13924 14115 15045 15997 17405 18820 20060 20886 28230 30090 31994 34810 41772 47991 52215 55519 56460 59177 60180 63988 69620 79985 95982 104430 111038 118354 159970 166557 177531 191964 208860 222076 236708 239955 277595 295885 319940 333114 355062 479910 555190 591770 666228 710124 832785 887655 943823 959820 1110380 1183540 1665570 1775310 1887646 2831469 3275621 3331140 3550620 3775292 4719115 5662938 6551242 9438230 9826863 11325876 13102484 14157345 16378105 18876460 19653726 28314690 32756210 39307452 49134315 55685557 56629380 65512420 98268630 111371114 167056671 196537260 222742228 278427785 334113342 556855570 668226684 835283355 1113711140 1670566710 3341133420