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385184268 = 223371373719
BaseRepresentation
bin10110111101010…
…111001000001100
3222211210101111000
4112331113020030
51242101344033
6102115500300
712355004130
oct2675271014
9884711430
10385184268
11188476707
12a8bb7690
1361a54ab1
14392293c0
1523c38a13
hex16f5720c

385184268 has 96 divisors (see below), whose sum is σ = 1149926400. Its totient is φ = 109219968.

The previous prime is 385184263. The next prime is 385184279. The reversal of 385184268 is 862481583.

385184268 is a `hidden beast` number, since 38 + 518 + 42 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (385184263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101713 + ... + 105431.

It is an arithmetic number, because the mean of its divisors is an integer number (11978400).

Almost surely, 2385184268 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 385184268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574963200).

385184268 is an abundant number, since it is smaller than the sum of its proper divisors (764742132).

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

385184268 is a wasteful number, since it uses less digits than its factorization.

385184268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876 (or 3868 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 385184268 is about 19626.1118920687. Note that the first 3 decimals coincide. The cubic root of 385184268 is about 727.5946778682.

The spelling of 385184268 in words is "three hundred eighty-five million, one hundred eighty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 137 189 252 274 378 411 548 756 822 959 1233 1644 1918 2466 2877 3699 3719 3836 4932 5754 7398 7438 8631 11157 11508 14796 14876 17262 22314 25893 26033 33471 34524 44628 51786 52066 66942 78099 100413 103572 104132 133884 156198 200826 234297 312396 401652 468594 509503 702891 937188 1019006 1405782 1528509 2038012 2811564 3057018 3566521 4585527 6114036 7133042 9171054 10699563 13756581 14266084 18342108 21399126 27513162 32098689 42798252 55026324 64197378 96296067 128394756 192592134 385184268