Search a number
-
+
302306080 = 25513114423
BaseRepresentation
bin10010000001001…
…101001100100000
3210001211201222111
4102001031030200
51104342243310
645555245104
710330362556
oct2201151440
9701751874
10302306080
1114570a03a
12852a9794
134a82764b
142c213bd6
151b81728a
hex1204d320

302306080 has 48 divisors (see below), whose sum is σ = 719699904. Its totient is φ = 119991040.

The previous prime is 302306051. The next prime is 302306107. The reversal of 302306080 is 80603203.

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, 13749 + ... + 28171.

It is an arithmetic number, because the mean of its divisors is an integer number (14993748).

Almost surely, 2302306080 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 302306080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359849952).

302306080 is an abundant number, since it is smaller than the sum of its proper divisors (417393824).

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

302306080 is a wasteful number, since it uses less digits than its factorization.

302306080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14569 (or 14561 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 302306080 is about 17386.9514291609. The cubic root of 302306080 is about 671.1438691214.

Adding to 302306080 its reverse (80603203), we get a palindrome (382909283).

The spelling of 302306080 in words is "three hundred two million, three hundred six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 131 160 262 524 655 1048 1310 2096 2620 4192 5240 10480 14423 20960 28846 57692 72115 115384 144230 230768 288460 461536 576920 1153840 1889413 2307680 3778826 7557652 9447065 15115304 18894130 30230608 37788260 60461216 75576520 151153040 302306080