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344410112 = 2111953167
BaseRepresentation
bin10100100001110…
…100100000000000
3220000001211212002
4110201310200000
51201132110422
654101523132
711351303054
oct2441644000
9800054762
10344410112
11167457462
12974134a8
1356479a87
1433a53c64
1520382692
hex14874800

344410112 has 96 divisors (see below), whose sum is σ = 742996800. Its totient is φ = 159105024.

The previous prime is 344410111. The next prime is 344410133. The reversal of 344410112 is 211014443.

It is not an unprimeable number, because it can be changed into a prime (344410111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2062253 + ... + 2062419.

It is an arithmetic number, because the mean of its divisors is an integer number (7739550).

Almost surely, 2344410112 is an apocalyptic number.

344410112 is a gapful number since it is divisible by the number (32) 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 344410112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371498400).

344410112 is an abundant number, since it is smaller than the sum of its proper divisors (398586688).

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

344410112 is a wasteful number, since it uses less digits than its factorization.

344410112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 344410112 is about 18558.2895763591. The cubic root of 344410112 is about 700.9579483160.

Adding to 344410112 its reverse (211014443), we get a palindrome (555424555).

The spelling of 344410112 in words is "three hundred forty-four million, four hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 53 64 76 106 128 152 167 212 256 304 334 424 512 608 668 848 1007 1024 1216 1336 1696 2014 2048 2432 2672 3173 3392 4028 4864 5344 6346 6784 8056 8851 9728 10688 12692 13568 16112 17702 19456 21376 25384 27136 32224 35404 38912 42752 50768 54272 64448 70808 85504 101536 108544 128896 141616 168169 171008 203072 257792 283232 336338 342016 406144 515584 566464 672676 812288 1031168 1132928 1345352 1624576 2062336 2265856 2690704 3249152 4531712 5381408 6498304 9063424 10762816 18126848 21525632 43051264 86102528 172205056 344410112