Search a number
-
+
134440000 = 26543361
BaseRepresentation
bin10000000001101…
…10010001000000
3100100222021000021
420000312101000
5233404040000
621201303224
73221502232
oct1000662100
9310867007
10134440000
1169984842
1239034b14
1321b116c6
1413bd8252
15bc0911a
hex8036440

134440000 has 70 divisors (see below), whose sum is σ = 333466694. Its totient is φ = 53760000.

The previous prime is 134439979. The next prime is 134440003. The reversal of 134440000 is 44431.

It can be written as a sum of positive squares in 5 ways, for example, as 36192256 + 98247744 = 6016^2 + 9912^2 .

It is a super-2 number, since 2×1344400002 = 36148227200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (134440003) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 38320 + ... + 41680.

Almost surely, 2134440000 is an apocalyptic number.

134440000 is a gapful number since it is divisible by the number (10) 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 134440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166733347).

134440000 is an abundant number, since it is smaller than the sum of its proper divisors (199026694).

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

134440000 is an frugal number, since it uses more digits than its factorization.

134440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3393 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 134440000 is about 11594.8264325086. The cubic root of 134440000 is about 512.2824775880.

Adding to 134440000 its reverse (44431), we get a palindrome (134484431).

The spelling of 134440000 in words is "one hundred thirty-four million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3361 4000 5000 6722 8000 10000 13444 16805 20000 26888 33610 40000 53776 67220 84025 107552 134440 168050 215104 268880 336100 420125 537760 672200 840250 1075520 1344400 1680500 2100625 2688800 3361000 4201250 5377600 6722000 8402500 13444000 16805000 26888000 33610000 67220000 134440000