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304342240 = 25529107613
BaseRepresentation
bin10010001000111…
…110010011100000
3210012200012001211
4102020332103200
51110402422430
650111035504
710353603106
oct2210762340
9705605054
10304342240
1114687a914
1285b0bb94
134b08b387
142c5c3c76
151baba72a
hex1223e4e0

304342240 has 96 divisors (see below), whose sum is σ = 751978080. Its totient is φ = 116250624.

The previous prime is 304342231. The next prime is 304342243. The reversal of 304342240 is 42243403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304342243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496174 + ... + 496786.

It is an arithmetic number, because the mean of its divisors is an integer number (7833105).

Almost surely, 2304342240 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 304342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375989040).

304342240 is an abundant number, since it is smaller than the sum of its proper divisors (447635840).

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

304342240 is a wasteful number, since it uses less digits than its factorization.

304342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 304342240 is about 17445.4074185729. The cubic root of 304342240 is about 672.6473118322.

Adding to 304342240 its reverse (42243403), we get a palindrome (346585643).

The spelling of 304342240 in words is "three hundred four million, three hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 107 116 145 160 214 232 290 428 464 535 580 613 856 928 1070 1160 1226 1712 2140 2320 2452 3065 3103 3424 4280 4640 4904 6130 6206 8560 9808 12260 12412 15515 17120 17777 19616 24520 24824 31030 35554 49040 49648 62060 65591 71108 88885 98080 99296 124120 131182 142216 177770 248240 262364 284432 327955 355540 496480 524728 568864 655910 711080 1049456 1311820 1422160 1902139 2098912 2623640 2844320 3804278 5247280 7608556 9510695 10494560 15217112 19021390 30434224 38042780 60868448 76085560 152171120 304342240