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304542240 = 25355311971
BaseRepresentation
bin10010001001101…
…111001000100000
3210020001100102020
4102021233020200
51110430322430
650115221440
710355365152
oct2211571040
9706040366
10304542240
111469a7102
1285ba7880
134b12b412
142c636ad2
151bb09b10
hex1226f220

304542240 has 96 divisors (see below), whose sum is σ = 977489856. Its totient is φ = 79672320.

The previous prime is 304542239. The next prime is 304542299. The reversal of 304542240 is 42245403.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 304542240.

It is an unprimeable number.

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, 19455 + ... + 31425.

It is an arithmetic number, because the mean of its divisors is an integer number (10182186).

Almost surely, 2304542240 is an apocalyptic number.

304542240 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 304542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488744928).

304542240 is an abundant number, since it is smaller than the sum of its proper divisors (672947616).

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

304542240 is a wasteful number, since it uses less digits than its factorization.

304542240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12042 (or 12034 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 304542240 is about 17451.1386447991. The cubic root of 304542240 is about 672.7946240645.

Adding to 304542240 its reverse (42245403), we get a palindrome (346787643).

The spelling of 304542240 in words is "three hundred four million, five hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 212 240 265 318 424 480 530 636 795 848 1060 1272 1590 1696 2120 2544 3180 4240 5088 6360 8480 11971 12720 23942 25440 35913 47884 59855 71826 95768 119710 143652 179565 191536 239420 287304 359130 383072 478840 574608 634463 718260 957680 1149216 1268926 1436520 1903389 1915360 2537852 2873040 3172315 3806778 5075704 5746080 6344630 7613556 9516945 10151408 12689260 15227112 19033890 20302816 25378520 30454224 38067780 50757040 60908448 76135560 101514080 152271120 304542240