Search a number
-
+
385330041 = 34172331201
BaseRepresentation
bin10110111101111…
…010101101111001
3222212001210110000
4112331322231321
51242121030131
6102122543213
712356152125
oct2675725571
9885053400
10385330041
11188566188
12a9067b09
1361aa6255
1439266585
1523c66ce6
hex16f7ab79

385330041 has 40 divisors (see below), whose sum is σ = 612601704. Its totient is φ = 240537600.

The previous prime is 385330027. The next prime is 385330091. The reversal of 385330041 is 140033583.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32400 + 385297641 = 180^2 + 19629^2 .

It is not a de Polignac number, because 385330041 - 27 = 385329913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 385329987 and 385330014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385330021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 320241 + ... + 321441.

Almost surely, 2385330041 is an apocalyptic number.

It is an amenable number.

385330041 is a deficient number, since it is larger than the sum of its proper divisors (227271663).

385330041 is a wasteful number, since it uses less digits than its factorization.

385330041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 385330041 is about 19629.8252921415. The cubic root of 385330041 is about 727.6864523691.

The spelling of 385330041 in words is "three hundred eighty-five million, three hundred thirty thousand, forty-one".

Divisors: 1 3 9 17 27 51 81 153 233 459 699 1201 1377 2097 3603 3961 6291 10809 11883 18873 20417 32427 35649 61251 97281 106947 183753 279833 320841 551259 839499 1653777 2518497 4757161 7555491 14271483 22666473 42814449 128443347 385330041