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303999904 = 2513267839
BaseRepresentation
bin10010000111101…
…010101110100000
3210012000210110201
4102013222232200
51110310444104
650055434544
710350646045
oct2207525640
9705023421
10303999904
1114666669a
1285985a54
134ac9b600
142c5351cc
151ba4e0a4
hex121eaba0

303999904 has 72 divisors (see below), whose sum is σ = 658536480. Its totient is φ = 138048768.

The previous prime is 303999889. The next prime is 303999907. The reversal of 303999904 is 409999303.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (303999907) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 361917 + ... + 362755.

It is an arithmetic number, because the mean of its divisors is an integer number (9146340).

Almost surely, 2303999904 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 303999904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329268240).

303999904 is an abundant number, since it is smaller than the sum of its proper divisors (354536576).

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

303999904 is a wasteful number, since it uses less digits than its factorization.

303999904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 46.

The square root of 303999904 is about 17435.5930211737. The cubic root of 303999904 is about 672.3950105814.

The spelling of 303999904 in words is "three hundred three million, nine hundred ninety-nine thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 67 104 134 169 208 268 338 416 536 676 839 871 1072 1352 1678 1742 2144 2704 3356 3484 5408 6712 6968 10907 11323 13424 13936 21814 22646 26848 27872 43628 45292 56213 87256 90584 112426 141791 174512 181168 224852 283582 349024 362336 449704 567164 730769 899408 1134328 1461538 1798816 2268656 2923076 4537312 5846152 9499997 11692304 18999994 23384608 37999988 75999976 151999952 303999904