Search a number
-
+
3430341220 = 2252815991019
BaseRepresentation
bin1100110001110110…
…1101101001100100
322212001210101111211
43030131231221210
524011131404340
61324220041204
7151002263545
oct31435555144
98761711454
103430341220
11150037a149
127b8993204
134288ba207
142478284cc
1515124c5ea
hexcc76da64

3430341220 has 48 divisors (see below), whose sum is σ = 7248528000. Its totient is φ = 1363631360.

The previous prime is 3430341217. The next prime is 3430341223. The reversal of 3430341220 is 221430343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3430341217) and next prime (3430341223).

It is a junction number, because it is equal to n+sod(n) for n = 3430341191 and 3430341200.

It is not an unprimeable number, because it can be changed into a prime (3430341223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3365871 + ... + 3366889.

It is an arithmetic number, because the mean of its divisors is an integer number (151011000).

Almost surely, 23430341220 is an apocalyptic number.

It is an amenable number.

3430341220 is an abundant number, since it is smaller than the sum of its proper divisors (3818186780).

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

3430341220 is a wasteful number, since it uses less digits than its factorization.

3430341220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3430341220 is about 58569.1148985538. The cubic root of 3430341220 is about 1508.1542906297.

Adding to 3430341220 its reverse (221430343), we get a palindrome (3651771563).

The spelling of 3430341220 in words is "three billion, four hundred thirty million, three hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 281 562 599 1019 1124 1198 1405 2038 2396 2810 2995 4076 5095 5620 5990 10190 11980 20380 168319 286339 336638 572678 610381 673276 841595 1145356 1220762 1431695 1683190 2441524 2863390 3051905 3366380 5726780 6103810 12207620 171517061 343034122 686068244 857585305 1715170610 3430341220