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395164014 = 237171929129
BaseRepresentation
bin10111100011011…
…011100101101110
31000112120102010020
4113203123211232
51302130222024
6103113423010
712535560450
oct2743334556
91015512106
10395164014
11193072633
12b040aa66
1363b3a37b
143a6a62d0
1524a5a979
hex178db96e

395164014 has 64 divisors (see below), whose sum is σ = 1006732800. Its totient is φ = 100666368.

The previous prime is 395164013. The next prime is 395164043. The reversal of 395164014 is 410461593.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395164013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 999 + ... + 28130.

It is an arithmetic number, because the mean of its divisors is an integer number (15730200).

Almost surely, 2395164014 is an apocalyptic number.

395164014 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 395164014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503366400).

395164014 is an abundant number, since it is smaller than the sum of its proper divisors (611568786).

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

395164014 is a wasteful number, since it uses less digits than its factorization.

395164014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29177.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 395164014 is about 19878.7327060857. The cubic root of 395164014 is about 733.8249315809.

The spelling of 395164014 in words is "three hundred ninety-five million, one hundred sixty-four thousand, fourteen".

Divisors: 1 2 3 6 7 14 17 19 21 34 38 42 51 57 102 114 119 133 238 266 323 357 399 646 714 798 969 1938 2261 4522 6783 13566 29129 58258 87387 174774 203903 407806 495193 553451 611709 990386 1106902 1223418 1485579 1660353 2971158 3320706 3466351 3874157 6932702 7748314 9408667 10399053 11622471 18817334 20798106 23244942 28226001 56452002 65860669 131721338 197582007 395164014