Search a number
-
+
385831361 = 4153277641
BaseRepresentation
bin10110111111110…
…101000111000001
3222220000021010102
4112333311013001
51242233100421
6102141412145
712363340526
oct2677650701
9886007112
10385831361
111888788a3
12a926a055
1361c204a6
143935714d
1523d1560b
hex16ff51c1

385831361 has 16 divisors (see below), whose sum is σ = 404783568. Its totient is φ = 367411200.

The previous prime is 385831343. The next prime is 385831367. The reversal of 385831361 is 163138583.

It can be written as a sum of positive squares in 8 ways, for example, as 4840000 + 380991361 = 2200^2 + 19519^2 .

It is a cyclic number.

It is not a de Polignac number, because 385831361 - 26 = 385831297 is a prime.

It is a super-2 number, since 2×3858313612 = 297731678262224642, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (385831367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 601601 + ... + 602241.

It is an arithmetic number, because the mean of its divisors is an integer number (25298973).

Almost surely, 2385831361 is an apocalyptic number.

It is an amenable number.

385831361 is a deficient number, since it is larger than the sum of its proper divisors (18952207).

385831361 is a wasteful number, since it uses less digits than its factorization.

385831361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012.

The product of its digits is 51840, while the sum is 38.

The square root of 385831361 is about 19642.5904859822. The cubic root of 385831361 is about 728.0018925050.

The spelling of 385831361 in words is "three hundred eighty-five million, eight hundred thirty-one thousand, three hundred sixty-one".

Divisors: 1 41 53 277 641 2173 11357 14681 26281 33973 177557 601921 1392893 7279837 9410521 385831361