Search a number
-
+
302241040 = 24518120873
BaseRepresentation
bin10010000000111…
…101010100010000
3210001201102202121
4102000331110100
51104333203130
645554024024
710330002133
oct2200752420
9701642677
10302241040
11145675192
1285278014
134a803b6a
142c1d821a
151b802d7a
hex1203d510

302241040 has 40 divisors (see below), whose sum is σ = 706626648. Its totient is φ = 120222720.

The previous prime is 302241029. The next prime is 302241061. The reversal of 302241040 is 40142203.

302241040 is digitally balanced in base 3, 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 4 ways, for example, as 3504384 + 298736656 = 1872^2 + 17284^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4044 + ... + 24916.

Almost surely, 2302241040 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 302241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353313324).

302241040 is an abundant number, since it is smaller than the sum of its proper divisors (404385608).

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

302241040 is a wasteful number, since it uses less digits than its factorization.

302241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21067 (or 21061 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 302241040 is about 17385.0809604097. The cubic root of 302241040 is about 671.0957343214.

Adding to 302241040 its reverse (40142203), we get a palindrome (342383243).

The spelling of 302241040 in words is "three hundred two million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 362 724 905 1448 1810 2896 3620 7240 14480 20873 41746 83492 104365 166984 208730 333968 417460 834920 1669840 3778013 7556026 15112052 18890065 30224104 37780130 60448208 75560260 151120520 302241040