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304231344 = 243192911503
BaseRepresentation
bin10010001000100…
…011001110110000
3210012110112221120
4102020203032300
51110340400334
650104422240
710352631564
oct2210431660
9705415846
10304231344
1114680456a
1285a77980
134b04ca61
142c5956a4
151ba97949
hex122233b0

304231344 has 80 divisors (see below), whose sum is σ = 855897600. Its totient is φ = 92752128.

The previous prime is 304231313. The next prime is 304231349. The reversal of 304231344 is 443132403.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (304231349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20697 + ... + 32199.

It is an arithmetic number, because the mean of its divisors is an integer number (10698720).

Almost surely, 2304231344 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 304231344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427948800).

304231344 is an abundant number, since it is smaller than the sum of its proper divisors (551666256).

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

304231344 is a wasteful number, since it uses less digits than its factorization.

304231344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11562 (or 11556 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 304231344 is about 17442.2287566698. The cubic root of 304231344 is about 672.5656023306.

Adding to 304231344 its reverse (443132403), we get a palindrome (747363747).

The spelling of 304231344 in words is "three hundred four million, two hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 38 48 57 58 76 87 114 116 152 174 228 232 304 348 456 464 551 696 912 1102 1392 1653 2204 3306 4408 6612 8816 11503 13224 23006 26448 34509 46012 69018 92024 138036 184048 218557 276072 333587 437114 552144 655671 667174 874228 1000761 1311342 1334348 1748456 2001522 2622684 2668696 3496912 4003044 5245368 5337392 6338153 8006088 10490736 12676306 16012176 19014459 25352612 38028918 50705224 76057836 101410448 152115672 304231344