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344230016 = 2713215913
BaseRepresentation
bin10100100001001…
…000100010000000
3212222201200210212
4110201020202000
51201110330031
654054013252
711346623024
oct2441104200
9788650725
10344230016
11167344119
1297347228
1356415b00
1433a08384
152034912b
hex14848880

344230016 has 48 divisors (see below), whose sum is σ = 742626810. Its totient is φ = 158865408.

The previous prime is 344229961. The next prime is 344230031. The reversal of 344230016 is 610032443.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 229825600 + 114404416 = 15160^2 + 10696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 344229973 and 344230000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13676 + ... + 29588.

Almost surely, 2344230016 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 344230016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371313405).

344230016 is an abundant number, since it is smaller than the sum of its proper divisors (398396794).

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

344230016 is a wasteful number, since it uses less digits than its factorization.

344230016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15953 (or 15928 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 344230016 is about 18553.4367705824. The cubic root of 344230016 is about 700.8357473616.

Adding to 344230016 its reverse (610032443), we get a palindrome (954262459).

The spelling of 344230016 in words is "three hundred forty-four million, two hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 676 832 1352 1664 2704 5408 10816 15913 21632 31826 63652 127304 206869 254608 413738 509216 827476 1018432 1654952 2036864 2689297 3309904 5378594 6619808 10757188 13239616 21514376 26479232 43028752 86057504 172115008 344230016