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304804976 = 24767151269
BaseRepresentation
bin10010001010101…
…111010001110000
3210020112200211012
4102022233101300
51111012224401
650125010052
710360541150
oct2212572160
9706480735
10304804976
11147066543
12860b3928
134b1c0b98
142c6a4760
151bb5c8bb
hex122af470

304804976 has 80 divisors (see below), whose sum is σ = 692098560. Its totient is φ = 127353600.

The previous prime is 304804949. The next prime is 304804999. The reversal of 304804976 is 679408403.

304804976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 1132970 + ... + 1133238.

It is an arithmetic number, because the mean of its divisors is an integer number (8651232).

Almost surely, 2304804976 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 304804976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346049280).

304804976 is an abundant number, since it is smaller than the sum of its proper divisors (387293584).

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

304804976 is a wasteful number, since it uses less digits than its factorization.

304804976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 304804976 is about 17458.6647828521. The cubic root of 304804976 is about 672.9880472153.

The spelling of 304804976 in words is "three hundred four million, eight hundred four thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 151 268 269 302 469 536 538 604 938 1057 1072 1076 1208 1876 1883 2114 2152 2416 3752 3766 4228 4304 7504 7532 8456 10117 15064 16912 18023 20234 30128 36046 40468 40619 70819 72092 80936 81238 126161 141638 144184 161872 162476 252322 283276 284333 288368 324952 504644 566552 568666 649904 1009288 1133104 1137332 2018576 2274664 2721473 4549328 5442946 10885892 19050311 21771784 38100622 43543568 76201244 152402488 304804976