Search a number
-
+
12355434 = 23271319397
BaseRepresentation
bin101111001000…
…011101101010
3212020201110200
4233020131222
511130333214
61120453030
7210006450
oct57103552
925221420
1012355434
116a79903
12417a176
132737a10
1418d89d0
151140d09
hexbc876a

12355434 has 96 divisors (see below), whose sum is σ = 34769280. Its totient is φ = 3079296.

The previous prime is 12355433. The next prime is 12355451. The reversal of 12355434 is 43455321.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12355398 and 12355407.

It is not an unprimeable number, because it can be changed into a prime (12355433) 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 47 ways as a sum of consecutive naturals, for example, 30924 + ... + 31320.

It is an arithmetic number, because the mean of its divisors is an integer number (362180).

Almost surely, 212355434 is an apocalyptic number.

12355434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12355434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17384640).

12355434 is an abundant number, since it is smaller than the sum of its proper divisors (22413846).

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

12355434 is a wasteful number, since it uses less digits than its factorization.

12355434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 441 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 12355434 is about 3515.0297296040. The cubic root of 12355434 is about 231.1812823335.

The spelling of 12355434 in words is "twelve million, three hundred fifty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 19 21 26 38 39 42 57 63 78 91 114 117 126 133 171 182 234 247 266 273 342 397 399 494 546 741 794 798 819 1191 1197 1482 1638 1729 2223 2382 2394 2779 3458 3573 4446 5161 5187 5558 7146 7543 8337 10322 10374 15086 15483 15561 16674 22629 25011 30966 31122 36127 45258 46449 50022 52801 67887 72254 92898 98059 105602 108381 135774 158403 196118 216762 294177 316806 325143 475209 588354 650286 686413 882531 950418 1372826 1765062 2059239 4118478 6177717 12355434