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304424340 = 2235113114879
BaseRepresentation
bin10010001001010…
…010010110010100
3210012211100200120
4102021102112110
51110413034330
650112511540
710354364343
oct2211222624
9705740616
10304424340
11146926570
1285b4b5b0
134b0b985c
142c605b5a
151bad4c10
hex12252594

304424340 has 96 divisors (see below), whose sum is σ = 959938560. Its totient is φ = 71414400.

The previous prime is 304424291. The next prime is 304424347. The reversal of 304424340 is 43424403.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 304424340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304424347) 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 31 ways as a sum of consecutive naturals, for example, 13021 + ... + 27899.

It is an arithmetic number, because the mean of its divisors is an integer number (9999360).

Almost surely, 2304424340 is an apocalyptic number.

304424340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304424340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479969280).

304424340 is an abundant number, since it is smaller than the sum of its proper divisors (655514220).

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

304424340 is a wasteful number, since it uses less digits than its factorization.

304424340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14933 (or 14931 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 304424340 is about 17447.7603147223. The cubic root of 304424340 is about 672.7077913100.

Adding to 304424340 its reverse (43424403), we get a palindrome (347848743).

The spelling of 304424340 in words is "three hundred four million, four hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 6820 10230 14879 20460 29758 44637 59516 74395 89274 148790 163669 178548 223185 297580 327338 446370 461249 491007 654676 818345 892740 922498 982014 1383747 1636690 1844996 1964028 2306245 2455035 2767494 3273380 4612490 4910070 5073739 5534988 6918735 9224980 9820140 10147478 13837470 15221217 20294956 25368695 27674940 30442434 50737390 60884868 76106085 101474780 152212170 304424340