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304227840 = 293575659
BaseRepresentation
bin10010001000100…
…010011000000000
3210012110101010210
4102020202120000
51110340242330
650104354120
710352615430
oct2210423000
9705411123
10304227840
11146801974
1285a75940
134b04b297
142c5942c0
151ba968b0
hex12222600

304227840 has 160 divisors (see below), whose sum is σ = 1111714560. Its totient is φ = 69525504.

The previous prime is 304227827. The next prime is 304227841. The reversal of 304227840 is 48722403.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 304227798 and 304227807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304227841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50931 + ... + 56589.

It is an arithmetic number, because the mean of its divisors is an integer number (6948216).

Almost surely, 2304227840 is an apocalyptic number.

304227840 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 304227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555857280).

304227840 is an abundant number, since it is smaller than the sum of its proper divisors (807486720).

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

304227840 is an equidigital number, since it uses as much as digits as its factorization.

304227840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5692 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 304227840 is about 17442.1283105016. The cubic root of 304227840 is about 672.5630202178.

The spelling of 304227840 in words is "three hundred four million, two hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2560 2688 3360 3584 3840 4480 5376 5659 6720 7680 8960 10752 11318 13440 16977 17920 22636 26880 28295 33954 39613 45272 53760 56590 67908 79226 84885 90544 113180 118839 135816 158452 169770 181088 198065 226360 237678 271632 316904 339540 362176 396130 452720 475356 543264 594195 633808 679080 724352 792260 905440 950712 1086528 1188390 1267616 1358160 1448704 1584520 1810880 1901424 2173056 2376780 2535232 2716320 2897408 3169040 3621760 3802848 4346112 4753560 5070464 5432640 6338080 7243520 7605696 8692224 9507120 10140928 10865280 12676160 14487040 15211392 19014240 20281856 21730560 25352320 30422784 38028480 43461120 50704640 60845568 76056960 101409280 152113920 304227840