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395254161 = 34474
BaseRepresentation
bin10111100011110…
…001100110010001
31000112201222210000
4113203301212101
51302141113121
6103115400213
712536414331
oct2743614621
91015658700
10395254161
11193124335
12b0453069
1363b6c403
143a6cb0c1
1524a77526
hex178f1991

395254161 has 25 divisors (see below), whose sum is σ = 603277081. Its totient is φ = 257896332.

The previous prime is 395254159. The next prime is 395254163. The reversal of 395254161 is 161452593.

The square root of 395254161 is 19881.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

395254161 is a `hidden beast` number, since 3 + 9 + 52 + 541 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (395254159) and next prime (395254163).

It is not a de Polignac number, because 395254161 - 21 = 395254159 is a prime.

It is a Duffinian number.

Its product of digits (32400) is a multiple of the sum of its prime divisors (50).

It is not an unprimeable number, because it can be changed into a prime (395254163) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 8409640 + ... + 8409686.

Almost surely, 2395254161 is an apocalyptic number.

395254161 is the 19881-st square number.

395254161 is the 9941-st centered octagonal number.

It is an amenable number.

395254161 is a deficient number, since it is larger than the sum of its proper divisors (208022920).

395254161 is an frugal number, since it uses more digits than its factorization.

395254161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 50 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The cubic root of 395254161 is about 733.8807287386.

Multiplying 395254161 by its sum of digits (36), we get a square (14229149796 = 1192862).

Multiplying 395254161 by its product of digits (32400), we get a square (12806234816400 = 35785802).

The spelling of 395254161 in words is "three hundred ninety-five million, two hundred fifty-four thousand, one hundred sixty-one".

Divisors: 1 3 9 27 47 81 141 423 1269 2209 3807 6627 19881 59643 103823 178929 311469 934407 2803221 4879681 8409663 14639043 43917129 131751387 395254161