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395360676 = 22341220249
BaseRepresentation
bin10111100100001…
…011100110100100
31000112221101220000
4113210023212210
51302203020201
6103121541300
712540340014
oct2744134644
91015841800
10395360676
11193197367
12b04a4830
1363ba8a39
143a717c44
1524a98d86
hex1790b9a4

395360676 has 30 divisors (see below), whose sum is σ = 1033551750. Its totient is φ = 131786784.

The previous prime is 395360657. The next prime is 395360677. The reversal of 395360676 is 676063593.

395360676 is a `hidden beast` number, since 39 + 5 + 3 + 606 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 387066276 + 8294400 = 19674^2 + 2880^2 .

It is not an unprimeable number, because it can be changed into a prime (395360677) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 609801 + ... + 610448.

It is an arithmetic number, because the mean of its divisors is an integer number (34451725).

Almost surely, 2395360676 is an apocalyptic number.

395360676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

395360676 is an abundant number, since it is smaller than the sum of its proper divisors (638191074).

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

395360676 is a wasteful number, since it uses less digits than its factorization.

395360676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220265 (or 1220254 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The square root of 395360676 is about 19883.6786334923. The cubic root of 395360676 is about 733.9466460586.

The spelling of 395360676 in words is "three hundred ninety-five million, three hundred sixty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1220249 2440498 3660747 4880996 7321494 10982241 14642988 21964482 32946723 43928964 65893446 98840169 131786892 197680338 395360676