Search a number
-
+
304145010 = 233513731187
BaseRepresentation
bin10010001000001…
…110001001110010
3210012022011112000
4102020032021302
51110330120020
650102514430
710352122101
oct2210161162
9705264460
10304145010
11146755714
1285a35a16
134b01c680
142c572038
151ba7c090
hex1220e272

304145010 has 128 divisors (see below), whose sum is σ = 886152960. Its totient is φ = 73778688.

The previous prime is 304145003. The next prime is 304145021. The reversal of 304145010 is 10541403.

It is a happy number.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255637 + ... + 256823.

It is an arithmetic number, because the mean of its divisors is an integer number (6923070).

Almost surely, 2304145010 is an apocalyptic number.

304145010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 304145010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443076480).

304145010 is an abundant number, since it is smaller than the sum of its proper divisors (582007950).

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

304145010 is a wasteful number, since it uses less digits than its factorization.

304145010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 304145010 is about 17439.7537253254. The cubic root of 304145010 is about 672.5019766575.

Adding to 304145010 its reverse (10541403), we get a palindrome (314686413).

The spelling of 304145010 in words is "three hundred four million, one hundred forty-five thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 73 78 90 117 130 135 146 195 219 234 270 351 365 390 438 585 657 702 730 949 1095 1170 1187 1314 1755 1898 1971 2190 2374 2847 3285 3510 3561 3942 4745 5694 5935 6570 7122 8541 9490 9855 10683 11870 14235 15431 17082 17805 19710 21366 25623 28470 30862 32049 35610 42705 46293 51246 53415 64098 77155 85410 86651 92586 106830 128115 138879 154310 160245 173302 231465 256230 259953 277758 320490 416637 433255 462930 519906 694395 779859 833274 866510 1126463 1299765 1388790 1559718 2083185 2252926 2339577 2599530 3379389 3899295 4166370 4679154 5632315 6758778 7798590 10138167 11264630 11697885 16896945 20276334 23395770 30414501 33793890 50690835 60829002 101381670 152072505 304145010