Search a number
-
+
12434344 = 2313217541
BaseRepresentation
bin101111011011…
…101110101000
3212101201201021
4233123232220
511140344334
61122302224
7210455506
oct57335650
925351637
1012434344
11702311a
1241b7974
132764900
141919676
1511593b4
hexbdbba8

12434344 has 48 divisors (see below), whose sum is σ = 26780220. Its totient is φ = 5391360.

The previous prime is 12434311. The next prime is 12434347. The reversal of 12434344 is 44343421.

12434344 = T156 + T157 + ... + T427.

It can be written as a sum of positive squares in 6 ways, for example, as 2762244 + 9672100 = 1662^2 + 3110^2 .

It is a super-2 number, since 2×124343442 = 309225821420672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12434347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22714 + ... + 23254.

Almost surely, 212434344 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 12434344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13390110).

12434344 is an abundant number, since it is smaller than the sum of its proper divisors (14345876).

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

12434344 is a wasteful number, since it uses less digits than its factorization.

12434344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 573 counting only the distinct ones).

The product of its digits is 4608, while the sum is 25.

The square root of 12434344 is about 3526.2365207116. The cubic root of 12434344 is about 231.6723973072.

Adding to 12434344 its reverse (44343421), we get a palindrome (56777765).

The spelling of 12434344 in words is "twelve million, four hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 169 221 338 442 541 676 884 1082 1352 1768 2164 2873 4328 5746 7033 9197 11492 14066 18394 22984 28132 36788 56264 73576 91429 119561 182858 239122 365716 478244 731432 956488 1554293 3108586 6217172 12434344