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318304896 = 2737139109
BaseRepresentation
bin10010111110001…
…111001010000000
3211011221120020020
4102332033022000
51122441224041
651330213440
710613355420
oct2276171200
9734846206
10318304896
111537471a8
128a724280
1350c397c0
14303ba480
151ce27866
hex12f8f280

318304896 has 128 divisors (see below), whose sum is σ = 1040726400. Its totient is φ = 83939328.

The previous prime is 318304879. The next prime is 318304901. The reversal of 318304896 is 698403813.

It is a happy number.

318304896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

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, 30390 + ... + 39498.

It is an arithmetic number, because the mean of its divisors is an integer number (8130675).

Almost surely, 2318304896 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 318304896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520363200).

318304896 is an abundant number, since it is smaller than the sum of its proper divisors (722421504).

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

318304896 is a wasteful number, since it uses less digits than its factorization.

318304896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9146 (or 9134 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 318304896 is about 17841.1013112980. The cubic root of 318304896 is about 682.7804952063.

The spelling of 318304896 in words is "three hundred eighteen million, three hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 4368 4992 5824 8736 9109 11648 17472 18218 27327 34944 36436 54654 63763 72872 109308 118417 127526 145744 191289 218616 236834 255052 291488 355251 382578 437232 473668 510104 582976 710502 765156 828919 874464 947336 1020208 1165952 1421004 1530312 1657838 1748928 1894672 2040416 2486757 2842008 3060624 3315676 3497856 3789344 4080832 4973514 5684016 6121248 6631352 7578688 8161664 9947028 11368032 12242496 13262704 15157376 19894056 22736064 24484992 26525408 39788112 45472128 53050816 79576224 106101632 159152448 318304896