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395444385 = 32574167457
BaseRepresentation
bin10111100100100…
…000000010100001
31000120002122201100
4113210200002201
51302213210020
6103123425013
712541136040
oct2744400241
91016078640
10395444385
11193244246
12b0525169
1363c07b7b
143a73a557
1524ab3a90
hex179200a1

395444385 has 96 divisors (see below), whose sum is σ = 816221952. Its totient is φ = 173352960.

The previous prime is 395444353. The next prime is 395444407. The reversal of 395444385 is 583444593.

It is not a de Polignac number, because 395444385 - 25 = 395444353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 395444385.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 865077 + ... + 865533.

It is an arithmetic number, because the mean of its divisors is an integer number (8502312).

Almost surely, 2395444385 is an apocalyptic number.

395444385 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

395444385 is an abundant number, since it is smaller than the sum of its proper divisors (420777567).

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

395444385 is a wasteful number, since it uses less digits than its factorization.

395444385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 580 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 395444385 is about 19885.7834897195. The cubic root of 395444385 is about 733.9984414680.

The spelling of 395444385 in words is "three hundred ninety-five million, four hundred forty-four thousand, three hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 41 45 63 67 105 123 201 205 287 315 335 369 457 469 603 615 861 1005 1371 1407 1435 1845 2285 2345 2583 2747 3015 3199 4113 4221 4305 6855 7035 8241 9597 12915 13735 15995 18737 19229 20565 21105 24723 28791 30619 41205 47985 56211 57687 91857 93685 96145 123615 131159 143955 153095 168633 173061 214333 275571 281055 288435 393477 459285 642999 655795 843165 865305 1071665 1180431 1255379 1377855 1928997 1967385 3214995 3766137 5902155 6276895 8787653 9644985 11298411 18830685 26362959 43938265 56492055 79088877 131814795 395444385