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344132404 = 227111816173
BaseRepresentation
bin10100100000110…
…000101100110100
3212222112201220121
4110200300230310
51201044214104
654051541324
711346035320
oct2440605464
9788481817
10344132404
11167287850
12972ba844
13563b0555
14339c0980
152032a254
hex14830b34

344132404 has 48 divisors (see below), whose sum is σ = 755104896. Its totient is φ = 133315200.

The previous prime is 344132387. The next prime is 344132407. The reversal of 344132404 is 404231443.

It is a super-2 number, since 2×3441324042 = 236854222965638432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344132407) by changing a digit.

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, 52662 + ... + 58834.

It is an arithmetic number, because the mean of its divisors is an integer number (15731352).

Almost surely, 2344132404 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 344132404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377552448).

344132404 is an abundant number, since it is smaller than the sum of its proper divisors (410972492).

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

344132404 is a wasteful number, since it uses less digits than its factorization.

344132404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6376 (or 6374 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 344132404 is about 18550.8060202246. The cubic root of 344132404 is about 700.7694966542.

Adding to 344132404 its reverse (404231443), we get a palindrome (748363847).

The spelling of 344132404 in words is "three hundred forty-four million, one hundred thirty-two thousand, four hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 181 308 362 724 1267 1991 2534 3982 5068 6173 7964 12346 13937 24692 27874 43211 55748 67903 86422 135806 172844 271612 475321 950642 1117313 1901284 2234626 4469252 7821191 12290443 15642382 24580886 31284764 49161772 86033101 172066202 344132404