Search a number
-
+
304046080 = 213513571
BaseRepresentation
bin10010000111110…
…110000000000000
3210012010010210221
4102013312000000
51110313433310
650100432424
710351230502
oct2207660000
9705103727
10304046080
11146698358
12859a8714
134acb6630
142c547d72
151ba5cada
hex121f6000

304046080 has 112 divisors (see below), whose sum is σ = 787170384. Its totient is φ = 112066560.

The previous prime is 304046033. The next prime is 304046087. The reversal of 304046080 is 80640403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304046087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 532195 + ... + 532765.

It is an arithmetic number, because the mean of its divisors is an integer number (7028307).

Almost surely, 2304046080 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 304046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393585192).

304046080 is an abundant number, since it is smaller than the sum of its proper divisors (483124304).

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

304046080 is an equidigital number, since it uses as much as digits as its factorization.

304046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 304046080 is about 17436.9171587182. The cubic root of 304046080 is about 672.4290532896.

Adding to 304046080 its reverse (80640403), we get a palindrome (384686483).

The spelling of 304046080 in words is "three hundred four million, forty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 571 640 832 1024 1040 1142 1280 1664 2048 2080 2284 2560 2855 3328 4096 4160 4568 5120 5710 6656 7423 8192 8320 9136 10240 11420 13312 14846 16640 18272 20480 22840 26624 29692 33280 36544 37115 40960 45680 53248 59384 66560 73088 74230 91360 106496 118768 133120 146176 148460 182720 237536 266240 292352 296920 365440 475072 532480 584704 593840 730880 950144 1169408 1187680 1461760 1900288 2338816 2375360 2923520 3800576 4677632 4750720 5847040 7601152 9501440 11694080 15202304 19002880 23388160 30404608 38005760 60809216 76011520 152023040 304046080