Search a number
-
+
304340040 = 233254717987
BaseRepresentation
bin10010001000111…
…101110001001000
3210012200002001100
4102020331301020
51110402340130
650111021400
710353563514
oct2210756110
9705602040
10304340040
111468791a4
1285b0a860
134b08a384
142c5c3144
151bab9c60
hex1223dc48

304340040 has 96 divisors (see below), whose sum is σ = 1010206080. Its totient is φ = 79426176.

The previous prime is 304340033. The next prime is 304340077. The reversal of 304340040 is 40043403.

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

It is a junction number, because it is equal to n+sod(n) for n = 304339995 and 304340022.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7927 + ... + 25913.

It is an arithmetic number, because the mean of its divisors is an integer number (10522980).

Almost surely, 2304340040 is an apocalyptic number.

304340040 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 304340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505103040).

304340040 is an abundant number, since it is smaller than the sum of its proper divisors (705866040).

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

304340040 is a wasteful number, since it uses less digits than its factorization.

304340040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18051 (or 18044 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 304340040 is about 17445.3443646149. The cubic root of 304340040 is about 672.6456910389.

Adding to 304340040 its reverse (40043403), we get a palindrome (344383443).

The spelling of 304340040 in words is "three hundred four million, three hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 47 60 72 90 94 120 141 180 188 235 282 360 376 423 470 564 705 846 940 1128 1410 1692 1880 2115 2820 3384 4230 5640 8460 16920 17987 35974 53961 71948 89935 107922 143896 161883 179870 215844 269805 323766 359740 431688 539610 647532 719480 809415 845389 1079220 1295064 1618830 1690778 2158440 2536167 3237660 3381556 4226945 5072334 6475320 6763112 7608501 8453890 10144668 12680835 15217002 16907780 20289336 25361670 30434004 33815560 38042505 50723340 60868008 76085010 101446680 152170020 304340040