Search a number
-
+
3431030226 = 231326615119
BaseRepresentation
bin1100110010000001…
…0101110111010010
322212010002101122120
43030200111313102
524011320431401
61324242515110
7151011163401
oct31440256722
98763071576
103431030226
1115007aa878
127b9065a96
13428a9ba00
14247967638
15151336836
hexcc815dd2

3431030226 has 48 divisors (see below), whose sum is σ = 7443210240. Its totient is φ = 1053898560.

The previous prime is 3431030201. The next prime is 3431030257. The reversal of 3431030226 is 6220301343.

It is a super-2 number, since 2×34310302262 = 23543936823451222152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3431030196 and 3431030205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 667695 + ... + 672813.

It is an arithmetic number, because the mean of its divisors is an integer number (155066880).

Almost surely, 23431030226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431030226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3721605120).

3431030226 is an abundant number, since it is smaller than the sum of its proper divisors (4012180014).

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

3431030226 is a wasteful number, since it uses less digits than its factorization.

3431030226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5811 (or 5798 counting only the distinct ones).

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

The square root of 3431030226 is about 58574.9965941100. The cubic root of 3431030226 is about 1508.2552580189.

Adding to 3431030226 its reverse (6220301343), we get a palindrome (9651331569).

The spelling of 3431030226 in words is "three billion, four hundred thirty-one million, thirty thousand, two hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 661 1014 1322 1983 3966 5119 8593 10238 15357 17186 25779 30714 51558 66547 111709 133094 199641 223418 335127 399282 670254 865111 1730222 2595333 3383659 5190666 6767318 10150977 20301954 43987567 87975134 131962701 263925402 571838371 1143676742 1715515113 3431030226