Search a number
-
+
3403530450 = 2325210969389
BaseRepresentation
bin1100101011011101…
…1100000011010010
322210012100021001100
43022313130003102
523432300433300
61321421245230
7150225350205
oct31267340322
98705307040
103403530450
111497227891
127aba03816
13423190a58
1424404993c
1514dc03700
hexcaddc0d2

3403530450 has 72 divisors (see below), whose sum is σ = 9228176100. Its totient is φ = 899268480.

The previous prime is 3403530437. The next prime is 3403530457. The reversal of 3403530450 is 540353043.

It is a happy number.

3403530450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1808885961 + 1594644489 = 42531^2 + 39933^2 .

It is not an unprimeable number, because it can be changed into a prime (3403530457) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14356 + ... + 83744.

Almost surely, 23403530450 is an apocalyptic number.

3403530450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3403530450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614088050).

3403530450 is an abundant number, since it is smaller than the sum of its proper divisors (5824645650).

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

3403530450 is a wasteful number, since it uses less digits than its factorization.

3403530450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69516 (or 69508 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 3403530450 is about 58339.7844528072. The cubic root of 3403530450 is about 1504.2148787716.

Adding to 3403530450 its reverse (540353043), we get a palindrome (3943883493).

The spelling of 3403530450 in words is "three billion, four hundred three million, five hundred thirty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 109 150 218 225 327 450 545 654 981 1090 1635 1962 2725 3270 4905 5450 8175 9810 16350 24525 49050 69389 138778 208167 346945 416334 624501 693890 1040835 1249002 1734725 2081670 3122505 3469450 5204175 6245010 7563401 10408350 15126802 15612525 22690203 31225050 37817005 45380406 68070609 75634010 113451015 136141218 189085025 226902030 340353045 378170050 567255075 680706090 1134510150 1701765225 3403530450