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386341296 = 24311672163
BaseRepresentation
bin10111000001110…
…001100110110000
3222220222011121220
4113001301212300
51242400410141
6102200345040
712400563315
oct2701614660
9886864556
10386341296
11189096a30
12a9475180
136206b623
143944ad0c
1523db6766
hex170719b0

386341296 has 120 divisors (see below), whose sum is σ = 1112053824. Its totient is φ = 114618240.

The previous prime is 386341289. The next prime is 386341321. The reversal of 386341296 is 692143683.

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, 2370111 + ... + 2370273.

Almost surely, 2386341296 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 386341296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556026912).

386341296 is an abundant number, since it is smaller than the sum of its proper divisors (725712528).

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

386341296 is a wasteful number, since it uses less digits than its factorization.

386341296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 246 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 386341296 is about 19655.5665397871. The cubic root of 386341296 is about 728.3224731656.

The spelling of 386341296 in words is "three hundred eighty-six million, three hundred forty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 67 88 132 134 163 176 201 264 268 326 402 489 528 536 652 737 804 978 1072 1304 1474 1608 1793 1956 2211 2608 2948 3216 3586 3912 4422 4489 5379 5896 7172 7824 8844 8978 10758 10921 11792 13467 14344 17688 17956 21516 21842 26934 28688 32763 35376 35912 43032 43684 49379 53868 65526 71824 86064 87368 98758 107736 120131 131052 148137 174736 197516 215472 240262 262104 296274 360393 395032 480524 524208 592548 720786 731707 790064 961048 1185096 1441572 1463414 1922096 2195121 2370192 2883144 2926828 4390242 5766288 5853656 8048777 8780484 11707312 16097554 17560968 24146331 32195108 35121936 48292662 64390216 96585324 128780432 193170648 386341296