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344010016 = 2573741507
BaseRepresentation
bin10100100000010…
…010110100100000
3212222022112000201
4110200102310200
51201031310031
654045154544
711345015440
oct2440226440
9788275021
10344010016
111672038a9
129725ba54
135636992c
143398c120
1520303d61
hex14812d20

344010016 has 48 divisors (see below), whose sum is σ = 794961216. Its totient is φ = 143444736.

The previous prime is 344010013. The next prime is 344010031. The reversal of 344010016 is 610010443.

It is a happy number.

It is a super-2 number, since 2×3440100162 = 236685782216640512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344009975 and 344010002.

It is not an unprimeable number, because it can be changed into a prime (344010013) 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, 12466 + ... + 29041.

It is an arithmetic number, because the mean of its divisors is an integer number (16561692).

Almost surely, 2344010016 is an apocalyptic number.

It is an amenable number.

344010016 is an abundant number, since it is smaller than the sum of its proper divisors (450951200).

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

344010016 is a wasteful number, since it uses less digits than its factorization.

344010016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41561 (or 41553 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 344010016 is about 18547.5070022901. The cubic root of 344010016 is about 700.6864124057.

Adding to 344010016 its reverse (610010443), we get a palindrome (954020459).

It can be divided in two parts, 3440 and 10016, that added together give a square (13456 = 1162).

The spelling of 344010016 in words is "three hundred forty-four million, ten thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 1036 1184 2072 4144 8288 41507 83014 166028 290549 332056 581098 664112 1162196 1328224 1535759 2324392 3071518 4648784 6143036 9297568 10750313 12286072 21500626 24572144 43001252 49144288 86002504 172005008 344010016