Search a number
-
+
304223364 = 2236172192
BaseRepresentation
bin10010001000100…
…001010010000100
3210012110011000000
4102020201102010
51110340121424
650104321300
710352566404
oct2210412204
9705404000
10304223364
111467a9575
1285a73230
134b049233
142c592804
151ba953c9
hex12221484

304223364 has 189 divisors, whose sum is σ = 894914517. Its totient is φ = 90419328.

The previous prime is 304223329. The next prime is 304223377. The reversal of 304223364 is 463322403.

It is a happy number.

The square root of 304223364 is 17442.

It is a perfect power (a square), and thus also a powerful number.

304223364 is a `hidden beast` number, since 304 + 22 + 336 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 236852100 + 67371264 = 15390^2 + 8208^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 16011747 + ... + 16011765.

Almost surely, 2304223364 is an apocalyptic number.

304223364 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

304223364 is the 17442-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304223364

304223364 is an abundant number, since it is smaller than the sum of its proper divisors (590691153).

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

304223364 is a wasteful number, since it uses less digits than its factorization.

304223364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The cubic root of 304223364 is about 672.5597218052.

Adding to 304223364 its reverse (463322403), we get a palindrome (767545767).

The spelling of 304223364 in words is "three hundred four million, two hundred twenty-three thousand, three hundred sixty-four".