Search a number
-
+
303716304 = 2434298081
BaseRepresentation
bin10010000110100…
…101011111010000
3210011111101110000
4102012211133100
51110222410204
650045410000
710345355163
oct2206453720
9704441400
10303716304
11146492611
1285869900
134abcc4b8
142c49dada
151b9e5039
hex121a57d0

303716304 has 100 divisors (see below), whose sum is σ = 909467460. Its totient is φ = 97735680.

The previous prime is 303716297. The next prime is 303716317. The reversal of 303716304 is 403617303.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 131056704 + 172659600 = 11448^2 + 13140^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33544 + ... + 41624.

Almost surely, 2303716304 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 303716304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454733730).

303716304 is an abundant number, since it is smaller than the sum of its proper divisors (605751156).

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

303716304 is a wasteful number, since it uses less digits than its factorization.

303716304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8130 (or 8115 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 303716304 is about 17427.4583344790. The cubic root of 303716304 is about 672.1858542060.

Subtracting 303716304 from its reverse (403617303), we obtain a palindrome (99900999).

The spelling of 303716304 in words is "three hundred three million, seven hundred sixteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 261 324 348 432 464 522 648 696 783 1044 1296 1392 1566 2088 2349 3132 4176 4698 6264 8081 9396 12528 16162 18792 24243 32324 37584 48486 64648 72729 96972 129296 145458 193944 218187 234349 290916 387888 436374 468698 581832 654561 703047 872748 937396 1163664 1309122 1406094 1745496 1874792 2109141 2618244 2812188 3490992 3749584 4218282 5236488 5624376 6327423 8436564 10472976 11248752 12654846 16873128 18982269 25309692 33746256 37964538 50619384 75929076 101238768 151858152 303716304