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4344214112 = 257195319259
BaseRepresentation
bin1000000101110111…
…10111001001100000
3102012202101221102222
410002323313021200
532344104322422
61555023330212
7212440132160
oct40273671140
912182357388
104344214112
11192a2173a7
12a12a50968
135430301c4
142d2d565a0
151a65b9842
hex102ef7260

4344214112 has 96 divisors (see below), whose sum is σ = 10483603200. Its totient is φ = 1730446848.

The previous prime is 4344214099. The next prime is 4344214151. The reversal of 4344214112 is 2114124434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215939 + ... + 235197.

It is an arithmetic number, because the mean of its divisors is an integer number (109204200).

Almost surely, 24344214112 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 4344214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241801600).

4344214112 is an abundant number, since it is smaller than the sum of its proper divisors (6139389088).

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

4344214112 is a wasteful number, since it uses less digits than its factorization.

4344214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19348 (or 19340 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 4344214112 is about 65910.6524925979. The cubic root of 4344214112 is about 1631.6878287636.

Adding to 4344214112 its reverse (2114124434), we get a palindrome (6458338546).

The spelling of 4344214112 in words is "four billion, three hundred forty-four million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 53 56 76 106 112 133 152 212 224 266 304 371 424 532 608 742 848 1007 1064 1484 1696 2014 2128 2968 4028 4256 5936 7049 8056 11872 14098 16112 19259 28196 32224 38518 56392 77036 112784 134813 154072 225568 269626 308144 365921 539252 616288 731842 1020727 1078504 1463684 2041454 2157008 2561447 2927368 4082908 4314016 5122894 5854736 7145089 8165816 10245788 11709472 14290178 16331632 19393813 20491576 28580356 32663264 38787626 40983152 57160712 77575252 81966304 114321424 135756691 155150504 228642848 271513382 310301008 543026764 620602016 1086053528 2172107056 4344214112