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344324112 = 243114211549
BaseRepresentation
bin10100100001011…
…111100000010000
3212222220110212220
4110201133200100
51201121332422
654100021040
711350464246
oct2441374020
9788813786
10344324112
111673a8890
1297391780
13564498a2
1433a30796
1520366e5c
hex1485f810

344324112 has 80 divisors (see below), whose sum is σ = 973300800. Its totient is φ = 104025600.

The previous prime is 344324041. The next prime is 344324131. The reversal of 344324112 is 211423443.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221514 + ... + 223062.

It is an arithmetic number, because the mean of its divisors is an integer number (12166260).

Almost surely, 2344324112 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 344324112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486650400).

344324112 is an abundant number, since it is smaller than the sum of its proper divisors (628976688).

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

344324112 is a wasteful number, since it uses less digits than its factorization.

344324112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1986 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 344324112 is about 18555.9724078260. The cubic root of 344324112 is about 700.8995998532.

Adding to 344324112 its reverse (211423443), we get a palindrome (555747555).

The spelling of 344324112 in words is "three hundred forty-four million, three hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 421 528 842 1263 1549 1684 2526 3098 3368 4631 4647 5052 6196 6736 9262 9294 10104 12392 13893 17039 18524 18588 20208 24784 27786 34078 37048 37176 51117 55572 68156 74096 74352 102234 111144 136312 204468 222288 272624 408936 652129 817872 1304258 1956387 2608516 3912774 5217032 7173419 7825548 10434064 14346838 15651096 21520257 28693676 31302192 43040514 57387352 86081028 114774704 172162056 344324112