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304312540 = 22572232587
BaseRepresentation
bin10010001000110…
…111000011011100
3210012121200022211
4102020313003130
51110401000130
650110250204
710353420400
oct2210670334
9705550284
10304312540
1114685a574
1285ab6964
134b07a9bc
142c5b7100
151bab1a2a
hex122370dc

304312540 has 108 divisors (see below), whose sum is σ = 778442616. Its totient is φ = 99629376.

The previous prime is 304312499. The next prime is 304312543. The reversal of 304312540 is 45213403.

It is a super-2 number, since 2×3043125402 = 185212244002503200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304312543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 518127 + ... + 518713.

It is an arithmetic number, because the mean of its divisors is an integer number (7207802).

Almost surely, 2304312540 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 304312540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389221308).

304312540 is an abundant number, since it is smaller than the sum of its proper divisors (474130076).

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

304312540 is a wasteful number, since it uses less digits than its factorization.

304312540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 304312540 is about 17444.5561709090. The cubic root of 304312540 is about 672.6254304627.

Adding to 304312540 its reverse (45213403), we get a palindrome (349525943).

The spelling of 304312540 in words is "three hundred four million, three hundred twelve thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 245 322 460 490 529 587 644 805 980 1058 1127 1174 1610 2116 2254 2348 2645 2935 3220 3703 4109 4508 5290 5635 5870 7406 8218 10580 11270 11740 13501 14812 16436 18515 20545 22540 25921 27002 28763 37030 41090 51842 54004 57526 67505 74060 82180 94507 103684 115052 129605 135010 143815 189014 259210 270020 287630 310523 378028 472535 518420 575260 621046 661549 945070 1242092 1323098 1552615 1890140 2173661 2646196 3105230 3307745 4347322 6210460 6615490 8694644 10868305 13230980 15215627 21736610 30431254 43473220 60862508 76078135 152156270 304312540