Search a number
-
+
395620944 = 24310777029
BaseRepresentation
bin10111100101001…
…011001001010000
31000120102121220120
4113211023021100
51302234332234
6103131310240
712542502555
oct2745131120
91016377816
10395620944
11193354964
12b05ab380
1363c6a344
143a784a2c
1524aeb049
hex1794b250

395620944 has 40 divisors (see below), whose sum is σ = 1031585760. Its totient is φ = 130639488.

The previous prime is 395620943. The next prime is 395620961. The reversal of 395620944 is 449026593.

It is a super-2 number, since 2×3956209442 = 313031862662902272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 395620896 and 395620905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395620943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33379 + ... + 43650.

It is an arithmetic number, because the mean of its divisors is an integer number (25789644).

Almost surely, 2395620944 is an apocalyptic number.

It is an amenable number.

395620944 is an abundant number, since it is smaller than the sum of its proper divisors (635964816).

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

395620944 is a wasteful number, since it uses less digits than its factorization.

395620944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77147 (or 77141 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 395620944 is about 19890.2223215328. Note that the first 3 decimals coincide. The cubic root of 395620944 is about 734.1076643688.

The spelling of 395620944 in words is "three hundred ninety-five million, six hundred twenty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1284 1712 2568 5136 77029 154058 231087 308116 462174 616232 924348 1232464 1848696 3697392 8242103 16484206 24726309 32968412 49452618 65936824 98905236 131873648 197810472 395620944