Search a number
-
+
303104112 = 243193171151
BaseRepresentation
bin10010000100010…
…000000001110000
3210010100021200020
4102010100001300
51110043312422
650024323440
710340225313
oct2204200160
9703307606
10303104112
11146104673
1285613580
134aa4695c
142c38097a
151b92395c
hex12110070

303104112 has 160 divisors (see below), whose sum is σ = 868515840. Its totient is φ = 90720000.

The previous prime is 303104083. The next prime is 303104129. The reversal of 303104112 is 211401303.

It is a super-2 number, since 2×3031041122 = 183744205422617088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 303104091 and 303104100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2007237 + ... + 2007387.

It is an arithmetic number, because the mean of its divisors is an integer number (5428224).

Almost surely, 2303104112 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 303104112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434257920).

303104112 is an abundant number, since it is smaller than the sum of its proper divisors (565411728).

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

303104112 is a wasteful number, since it uses less digits than its factorization.

303104112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 303104112 is about 17409.8854677450. The cubic root of 303104112 is about 671.7339153468.

Adding to 303104112 its reverse (211401303), we get a palindrome (514505415).

The spelling of 303104112 in words is "three hundred three million, one hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 71 76 93 114 124 142 151 152 186 213 228 248 284 302 304 372 426 453 456 496 568 589 604 744 852 906 912 1136 1178 1208 1349 1488 1704 1767 1812 2201 2356 2416 2698 2869 3408 3534 3624 4047 4402 4681 4712 5396 5738 6603 7068 7248 8094 8607 8804 9362 9424 10721 10792 11476 13206 14043 14136 16188 17214 17608 18724 21442 21584 22952 26412 28086 28272 32163 32376 34428 35216 37448 41819 42884 45904 52824 56172 64326 64752 68856 74896 83638 85768 88939 105648 112344 125457 128652 137712 167276 171536 177878 203699 224688 250914 257304 266817 332351 334552 355756 407398 501828 514608 533634 611097 664702 669104 711512 814796 997053 1003656 1067268 1222194 1329404 1423024 1629592 1994106 2007312 2134536 2444388 2658808 3259184 3988212 4269072 4888776 5317616 6314669 7976424 9777552 12629338 15952848 18944007 25258676 37888014 50517352 75776028 101034704 151552056 303104112