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304343040 = 211359907
BaseRepresentation
bin10010001000111…
…110100000000000
3210012200020011110
4102020332200000
51110402434130
650111043320
710353605331
oct2210764000
9705606143
10304343040
11146880481
1285b10540
134b08b851
142c5c4288
151babaab0
hex1223e800

304343040 has 96 divisors (see below), whose sum is σ = 973758240. Its totient is φ = 81149952.

The previous prime is 304343033. The next prime is 304343047. The reversal of 304343040 is 40343403.

It is an interprime number because it is at equal distance from previous prime (304343033) and next prime (304343047).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 304342998 and 304343016.

It is not an unprimeable number, because it can be changed into a prime (304343047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25767 + ... + 35673.

It is an arithmetic number, because the mean of its divisors is an integer number (10143315).

Almost surely, 2304343040 is an apocalyptic number.

304343040 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 304343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486879120).

304343040 is an abundant number, since it is smaller than the sum of its proper divisors (669415200).

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

304343040 is an equidigital number, since it uses as much as digits as its factorization.

304343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9937 (or 9917 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 304343040 is about 17445.4303472285. The cubic root of 304343040 is about 672.6479012097.

Adding to 304343040 its reverse (40343403), we get a palindrome (344686443).

The spelling of 304343040 in words is "three hundred four million, three hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 9907 10240 15360 19814 29721 30720 39628 49535 59442 79256 99070 118884 148605 158512 198140 237768 297210 317024 396280 475536 594420 634048 792560 951072 1188840 1268096 1585120 1902144 2377680 2536192 3170240 3804288 4755360 5072384 6340480 7608576 9510720 10144768 12680960 15217152 19021440 20289536 25361920 30434304 38042880 50723840 60868608 76085760 101447680 152171520 304343040