Search a number
-
+
384860161 = 7217736329
BaseRepresentation
bin10110111100001…
…000000000000001
3222211011220220001
4112330020000001
51242011011121
6102104520001
712352154200
oct2674100001
9884156801
10384860161
11188275154
12a8a80001
136197040a
1439183237
1523bc2991
hex16f08001

384860161 has 24 divisors (see below), whose sum is σ = 480598920. Its totient is φ = 306173952.

The previous prime is 384860159. The next prime is 384860167. The reversal of 384860161 is 161068483.

It can be written as a sum of positive squares in 4 ways, for example, as 164634561 + 220225600 = 12831^2 + 14840^2 .

It is not a de Polignac number, because 384860161 - 21 = 384860159 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 384860161.

It is not an unprimeable number, because it can be changed into a prime (384860167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57645 + ... + 63973.

It is an arithmetic number, because the mean of its divisors is an integer number (20024955).

It is a Proth number, since it is equal to 11745 ⋅ 215 + 1 and 11745 < 215.

Almost surely, 2384860161 is an apocalyptic number.

It is an amenable number.

384860161 is a deficient number, since it is larger than the sum of its proper divisors (95738759).

384860161 is a wasteful number, since it uses less digits than its factorization.

384860161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6433 (or 6426 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 384860161 is about 19617.8531190342. The cubic root of 384860161 is about 727.3905463908.

It can be divided in two parts, 3848 and 60161, that added together give a square (64009 = 2532).

The spelling of 384860161 in words is "three hundred eighty-four million, eight hundred sixty thousand, one hundred sixty-one".

Divisors: 1 7 17 49 73 119 511 833 1241 3577 6329 8687 44303 60809 107593 310121 462017 753151 3234119 5272057 7854289 22638833 54980023 384860161