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234420450 = 235211314583
BaseRepresentation
bin11011111100011…
…11100011100010
3121100002210101220
431332033203202
5440002423300
635132235510
75544353355
oct1576174342
9540083356
10234420450
11110362610
126660bb96
1339749334
14231c229c
15158a7da0
hexdf8f8e2

234420450 has 96 divisors (see below), whose sum is σ = 654815232. Its totient is φ = 54984000.

The previous prime is 234420401. The next prime is 234420451. The reversal of 234420450 is 54024432.

It is a self number, because there is not a number n which added to its sum of digits gives 234420450.

It is not an unprimeable number, because it can be changed into a prime (234420451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48859 + ... + 53441.

It is an arithmetic number, because the mean of its divisors is an integer number (6820992).

Almost surely, 2234420450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234420450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327407616).

234420450 is an abundant number, since it is smaller than the sum of its proper divisors (420394782).

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

234420450 is a wasteful number, since it uses less digits than its factorization.

234420450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4640 (or 4635 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 234420450 is about 15310.7952112227. The cubic root of 234420450 is about 616.5928699939.

Adding to 234420450 its reverse (54024432), we get a palindrome (288444882).

The spelling of 234420450 in words is "two hundred thirty-four million, four hundred twenty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 31 33 50 55 62 66 75 93 110 150 155 165 186 275 310 330 341 465 550 682 775 825 930 1023 1550 1650 1705 2046 2325 3410 4583 4650 5115 8525 9166 10230 13749 17050 22915 25575 27498 45830 50413 51150 68745 100826 114575 137490 142073 151239 229150 252065 284146 302478 343725 426219 504130 687450 710365 756195 852438 1260325 1420730 1512390 1562803 2131095 2520650 3125606 3551825 3780975 4262190 4688409 7103650 7561950 7814015 9376818 10655475 15628030 21310950 23442045 39070075 46884090 78140150 117210225 234420450