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3430214220 = 2235611376841
BaseRepresentation
bin1100110001110100…
…1110101001001100
322212001112221022010
43030131032221030
524011113323340
61324213221220
7151001224356
oct31435165114
98761487263
103430214220
1115002a2794
127b8931810
13428874474
142477d40d6
15151224b80
hexcc74ea4c

3430214220 has 96 divisors (see below), whose sum is σ = 9834745536. Its totient is φ = 893030400.

The previous prime is 3430214213. The next prime is 3430214231. The reversal of 3430214220 is 224120343.

3430214220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498000 + ... + 504840.

It is an arithmetic number, because the mean of its divisors is an integer number (102445266).

Almost surely, 23430214220 is an apocalyptic number.

3430214220 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 3430214220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4917372768).

3430214220 is an abundant number, since it is smaller than the sum of its proper divisors (6404531316).

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

3430214220 is a wasteful number, since it uses less digits than its factorization.

3430214220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7051 (or 7049 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3430214220 is about 58568.0306993500. The cubic root of 3430214220 is about 1508.1356784911.

Adding to 3430214220 its reverse (224120343), we get a palindrome (3654334563).

The spelling of 3430214220 in words is "three billion, four hundred thirty million, two hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 137 183 244 274 305 366 411 548 610 685 732 822 915 1220 1370 1644 1830 2055 2740 3660 4110 6841 8220 8357 13682 16714 20523 25071 27364 33428 34205 41046 41785 50142 68410 82092 83570 100284 102615 125355 136820 167140 205230 250710 410460 417301 501420 834602 937217 1251903 1669204 1874434 2086505 2503806 2811651 3748868 4173010 4686085 5007612 5623302 6259515 8346020 9372170 11246604 12519030 14058255 18744340 25038060 28116510 56233020 57170237 114340474 171510711 228680948 285851185 343021422 571702370 686042844 857553555 1143404740 1715107110 3430214220