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3414204220 = 2257293127127
BaseRepresentation
bin1100101110000000…
…1001111100111100
322210221102112201011
43023200021330330
523443014013340
61322442125004
7150415154110
oct31340117474
98727375634
103414204220
1114a2258189
127b34b0764
1342545a1ab
14245627740
1514eb110ea
hexcb809f3c

3414204220 has 96 divisors (see below), whose sum is σ = 8750407680. Its totient is φ = 1093720320.

The previous prime is 3414204217. The next prime is 3414204223. The reversal of 3414204220 is 224024143.

It is a happy number.

3414204220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3414204217) and next prime (3414204223).

It is a junction number, because it is equal to n+sod(n) for n = 3414204191 and 3414204200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414204223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112297 + ... + 139423.

It is an arithmetic number, because the mean of its divisors is an integer number (91150080).

Almost surely, 23414204220 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 3414204220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375203840).

3414204220 is an abundant number, since it is smaller than the sum of its proper divisors (5336203460).

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

3414204220 is a wasteful number, since it uses less digits than its factorization.

3414204220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27203 (or 27201 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 3414204220 is about 58431.1921836274. The cubic root of 3414204220 is about 1505.7856877785.

Adding to 3414204220 its reverse (224024143), we get a palindrome (3638228363).

The spelling of 3414204220 in words is "three billion, four hundred fourteen million, two hundred four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 31 35 58 62 70 116 124 140 145 155 203 217 290 310 406 434 580 620 812 868 899 1015 1085 1798 2030 2170 3596 4060 4340 4495 6293 8990 12586 17980 25172 27127 31465 54254 62930 108508 125860 135635 189889 271270 379778 542540 759556 786683 840937 949445 1573366 1681874 1898890 3146732 3363748 3797780 3933415 4204685 5506781 5886559 7866830 8409370 11013562 11773118 15733660 16818740 22027124 23546236 24387173 27533905 29432795 48774346 55067810 58865590 97548692 110135620 117731180 121935865 170710211 243871730 341420422 487743460 682840844 853551055 1707102110 3414204220