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304024140 = 2232571012389
BaseRepresentation
bin10010000111110…
…000101001001100
3210012002000201100
4102013300221030
51110312233030
650100143100
710351106520
oct2207605114
9705060640
10304024140
11146682922
1285997a90
134aca9654
142c53dd80
151ba56360
hex121f0a4c

304024140 has 144 divisors (see below), whose sum is σ = 1064831040. Its totient is φ = 68774400.

The previous prime is 304024121. The next prime is 304024159. The reversal of 304024140 is 41420403.

It is an interprime number because it is at equal distance from previous prime (304024121) and next prime (304024159).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126066 + ... + 128454.

It is an arithmetic number, because the mean of its divisors is an integer number (7394660).

Almost surely, 2304024140 is an apocalyptic number.

304024140 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 304024140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532415520).

304024140 is an abundant number, since it is smaller than the sum of its proper divisors (760806900).

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

304024140 is a wasteful number, since it uses less digits than its factorization.

304024140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 304024140 is about 17436.2880223974. The cubic root of 304024140 is about 672.4128787147.

Adding to 304024140 its reverse (41420403), we get a palindrome (345444543).

The spelling of 304024140 in words is "three hundred four million, twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 101 105 126 140 180 202 210 252 303 315 404 420 505 606 630 707 909 1010 1212 1260 1414 1515 1818 2020 2121 2389 2828 3030 3535 3636 4242 4545 4778 6060 6363 7070 7167 8484 9090 9556 10605 11945 12726 14140 14334 16723 18180 21210 21501 23890 25452 28668 31815 33446 35835 42420 43002 47780 50169 63630 66892 71670 83615 86004 100338 107505 127260 143340 150507 167230 200676 215010 241289 250845 301014 334460 430020 482578 501690 602028 723867 752535 965156 1003380 1206445 1447734 1505070 1689023 2171601 2412890 2895468 3010140 3378046 3619335 4343202 4825780 5067069 6756092 7238670 8445115 8686404 10134138 10858005 14477340 15201207 16890230 20268276 21716010 25335345 30402414 33780460 43432020 50670690 60804828 76006035 101341380 152012070 304024140