[go: up one dir, main page]

Search a number
-
+
641444240 = 245233659
BaseRepresentation
bin100110001110111…
…010100110010000
31122200222202002002
4212032322212100
52303202203430
6143352213132
721616120553
oct4616724620
91580882062
10641444240
112aa095608
1215a99a1a8
13a2b79908
146129469a
153b4a7845
hex263ba990

641444240 has 80 divisors (see below), whose sum is σ = 1561507200. Its totient is φ = 245049728.

The previous prime is 641444197. The next prime is 641444249. The reversal of 641444240 is 42444146.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×6414442402 = 822901426058355200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (641444249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 973031 + ... + 973689.

It is an arithmetic number, because the mean of its divisors is an integer number (19518840).

Almost surely, 2641444240 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 641444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780753600).

641444240 is an abundant number, since it is smaller than the sum of its proper divisors (920062960).

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

641444240 is an equidigital number, since it uses as much as digits as its factorization.

641444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

The square root of 641444240 is about 25326.7494953458. The cubic root of 641444240 is about 862.4216225075.

Adding to 641444240 its reverse (42444146), we get a palindrome (683888386).

The spelling of 641444240 in words is "six hundred forty-one million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 529 659 920 1058 1318 1840 2116 2636 2645 3295 4232 5272 5290 6590 8464 10544 10580 12167 13180 15157 21160 24334 26360 30314 42320 48668 52720 60628 60835 75785 97336 121256 121670 151570 194672 242512 243340 303140 348611 486680 606280 697222 973360 1212560 1394444 1743055 2788888 3486110 5577776 6972220 8018053 13944440 16036106 27888880 32072212 40090265 64144424 80180530 128288848 160361060 320722120 641444240