Search a number
-
+
3345203220 = 22351710313181
BaseRepresentation
bin1100011101100011…
…1100000000010100
322122010120221010120
43013120330000110
523322333000340
61311535151540
7145616521032
oct30730740024
98563527116
103345203220
111467309767
127943755b0
1341407b2b8
1423a3c5552
15148a314d0
hexc763c014

3345203220 has 96 divisors (see below), whose sum is σ = 9930283776. Its totient is φ = 838502400.

The previous prime is 3345203179. The next prime is 3345203227. The reversal of 3345203220 is 223025433.

It is a super-2 number, since 2×33452032202 = 22380769166196736800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3345203227) 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, 1050030 + ... + 1053210.

It is an arithmetic number, because the mean of its divisors is an integer number (103440456).

Almost surely, 23345203220 is an apocalyptic number.

3345203220 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 3345203220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4965141888).

3345203220 is an abundant number, since it is smaller than the sum of its proper divisors (6585080556).

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

3345203220 is a wasteful number, since it uses less digits than its factorization.

3345203220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4241 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 3345203220 is about 57837.7318019993. The cubic root of 3345203220 is about 1495.5726072080.

Adding to 3345203220 its reverse (223025433), we get a palindrome (3568228653).

The spelling of 3345203220 in words is "three billion, three hundred forty-five million, two hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1031 2062 3093 3181 4124 5155 6186 6362 9543 10310 12372 12724 15465 15905 17527 19086 20620 30930 31810 35054 38172 47715 52581 54077 61860 63620 70108 87635 95430 105162 108154 162231 175270 190860 210324 216308 262905 270385 324462 350540 525810 540770 648924 811155 1051620 1081540 1622310 3244620 3279611 6559222 9838833 13118444 16398055 19677666 32796110 39355332 49194165 55753387 65592220 98388330 111506774 167260161 196776660 223013548 278766935 334520322 557533870 669040644 836300805 1115067740 1672601610 3345203220