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304699968 = 2634531109
BaseRepresentation
bin10010001010010…
…101101001000000
3210020100100210000
4102022111221000
51111000344333
650122440000
710356623046
oct2212255100
9706310700
10304699968
11146aa4661
1286063000
134b185151
142c678396
151bb3b713
hex12295a40

304699968 has 140 divisors (see below), whose sum is σ = 921097980. Its totient is φ = 99560448.

The previous prime is 304699963. The next prime is 304699973. The reversal of 304699968 is 869996403.

It is a happy number.

304699968 is a `hidden beast` number, since 30 + 469 + 99 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (304699963) and next prime (304699973).

It can be written as a sum of positive squares in 2 ways, for example, as 88962624 + 215737344 = 9432^2 + 14688^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (304699963) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 274198 + ... + 275306.

Almost surely, 2304699968 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 304699968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460548990).

304699968 is an abundant number, since it is smaller than the sum of its proper divisors (616398012).

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

304699968 is a wasteful number, since it uses less digits than its factorization.

304699968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 304699968 is about 17455.6571918676. The cubic root of 304699968 is about 672.9107549013.

The spelling of 304699968 in words is "three hundred four million, six hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 81 96 106 108 144 159 162 192 212 216 288 318 324 424 432 477 576 636 648 848 864 954 1109 1272 1296 1431 1696 1728 1908 2218 2544 2592 2862 3327 3392 3816 4293 4436 5088 5184 5724 6654 7632 8586 8872 9981 10176 11448 13308 15264 17172 17744 19962 22896 26616 29943 30528 34344 35488 39924 45792 53232 58777 59886 68688 70976 79848 89829 91584 106464 117554 119772 137376 159696 176331 179658 212928 235108 239544 274752 319392 352662 359316 470216 479088 528993 638784 705324 718632 940432 958176 1057986 1410648 1437264 1586979 1880864 1916352 2115972 2821296 2874528 3173958 3761728 4231944 4760937 5642592 5749056 6347916 8463888 9521874 11285184 12695832 16927776 19043748 25391664 33855552 38087496 50783328 76174992 101566656 152349984 304699968