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304379376 = 243721271019
BaseRepresentation
bin10010001001000…
…111010111110000
3210012202002000020
4102021013113300
51110410120001
650111523440
710354116300
oct2211072760
9705662006
10304379376
111468a5804
1285b29580
134b0a2252
142c5d3600
151bac6736
hex122475f0

304379376 has 120 divisors (see below), whose sum is σ = 922798080. Its totient is φ = 86196096.

The previous prime is 304379347. The next prime is 304379431. The reversal of 304379376 is 673973403.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 23 ways as a sum of consecutive naturals, for example, 298195 + ... + 299213.

It is an arithmetic number, because the mean of its divisors is an integer number (7689984).

Almost surely, 2304379376 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 304379376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461399040).

304379376 is an abundant number, since it is smaller than the sum of its proper divisors (618418704).

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

304379376 is a wasteful number, since it uses less digits than its factorization.

304379376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 42.

The square root of 304379376 is about 17446.4717349956. The cubic root of 304379376 is about 672.6746696456.

The spelling of 304379376 in words is "three hundred four million, three hundred seventy-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 127 147 168 196 254 294 336 381 392 508 588 762 784 889 1016 1019 1176 1524 1778 2032 2038 2352 2667 3048 3057 3556 4076 5334 6096 6114 6223 7112 7133 8152 10668 12228 12446 14224 14266 16304 18669 21336 21399 24456 24892 28532 37338 42672 42798 48912 49784 49931 57064 74676 85596 99568 99862 114128 129413 149352 149793 171192 199724 258826 298704 299586 342384 388239 399448 517652 599172 776478 798896 905891 1035304 1198344 1552956 1811782 2070608 2396688 2717673 3105912 3623564 5435346 6211824 6341237 7247128 10870692 12682474 14494256 19023711 21741384 25364948 38047422 43482768 50729896 76094844 101459792 152189688 304379376