Search a number
-
+
241416450 = 23452115419
BaseRepresentation
bin11100110001110…
…11100100000010
3121211021020010000
432120323210002
5443300311300
635542220430
75661002022
oct1630734402
9554236100
10241416450
11114300830
1268a24716
133b028792
14240c3a82
15162dac00
hexe63b902

241416450 has 120 divisors (see below), whose sum is σ = 731895120. Its totient is φ = 58514400.

The previous prime is 241416449. The next prime is 241416457. The reversal of 241416450 is 54614142.

241416450 is a `hidden beast` number, since 2 + 4 + 14 + 1 + 645 + 0 = 666.

It is a super-3 number, since 3×2414164503 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (241416457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 41841 + ... + 47259.

It is an arithmetic number, because the mean of its divisors is an integer number (6099126).

Almost surely, 2241416450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241416450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365947560).

241416450 is an abundant number, since it is smaller than the sum of its proper divisors (490478670).

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

241416450 is a wasteful number, since it uses less digits than its factorization.

241416450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5454 (or 5440 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 241416450 is about 15537.5818581914. The cubic root of 241416450 is about 622.6666704241. Note that the first 4 decimals are identical.

The spelling of 241416450 in words is "two hundred forty-one million, four hundred sixteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 81 90 99 110 135 150 162 165 198 225 270 275 297 330 405 450 495 550 594 675 810 825 891 990 1350 1485 1650 1782 2025 2475 2970 4050 4455 4950 5419 7425 8910 10838 14850 16257 22275 27095 32514 44550 48771 54190 59609 81285 97542 119218 135475 146313 162570 178827 243855 270950 292626 298045 357654 406425 438939 487710 536481 596090 731565 812850 877878 894135 1072962 1219275 1463130 1490225 1609443 1788270 2194695 2438550 2682405 2980450 3218886 3657825 4389390 4470675 4828329 5364810 7315650 8047215 8941350 9656658 10973475 13412025 16094430 21946950 24141645 26824050 40236075 48283290 80472150 120708225 241416450