Search a number
-
+
641302272 = 283513261
BaseRepresentation
bin100110001110010…
…111111100000000
31122200201112100000
4212032113330000
52303133133042
6143345200000
721614656632
oct4616277400
91580645300
10641302272
112a9aa8986
1215a930000
13a2b2a100
1461258a52
153b47a74c
hex26397f00

641302272 has 324 divisors, whose sum is σ = 2110401384. Its totient is φ = 194088960.

The previous prime is 641302267. The next prime is 641302273. The reversal of 641302272 is 272203146.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×6413022722 = 822537208144723968, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641302273) 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, 10513122 + ... + 10513182.

Almost surely, 2641302272 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 641302272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055200692).

641302272 is an abundant number, since it is smaller than the sum of its proper divisors (1469099112).

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

641302272 is an equidigital number, since it uses as much as digits as its factorization.

641302272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 641302272 is about 25323.9466118534. The cubic root of 641302272 is about 862.3579924993.

The spelling of 641302272 in words is "six hundred forty-one million, three hundred two thousand, two hundred seventy-two".