Search a number
-
+
396071712 = 25321780897
BaseRepresentation
bin10111100110111…
…001001100100000
31000121021112020200
4113212321030200
51302343243322
6103145105200
712546361011
oct2746711440
91017245220
10396071712
111936325a3
12b0788200
136409757a
143a861008
1524b898ac
hex179b9320

396071712 has 72 divisors (see below), whose sum is σ = 1192598316. Its totient is φ = 124256256.

The previous prime is 396071671. The next prime is 396071713. The reversal of 396071712 is 217170693.

It is a happy number.

396071712 is a `hidden beast` number, since 39 + 607 + 1 + 7 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 340181136 + 55890576 = 18444^2 + 7476^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3960717122 = 313745602093221888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (396071713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35553 + ... + 45344.

Almost surely, 2396071712 is an apocalyptic number.

396071712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

396071712 is an abundant number, since it is smaller than the sum of its proper divisors (796526604).

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

396071712 is a wasteful number, since it uses less digits than its factorization.

396071712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80930 (or 80919 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 396071712 is about 19901.5504923611. The cubic root of 396071712 is about 734.3863710857.

The spelling of 396071712 in words is "three hundred ninety-six million, seventy-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 80897 161794 242691 323588 485382 647176 728073 970764 1294352 1375249 1456146 1941528 2588704 2750498 2912292 3883056 4125747 5500996 5824584 7766112 8251494 11001992 11649168 12377241 16502988 22003984 23298336 24754482 33005976 44007968 49508964 66011952 99017928 132023904 198035856 396071712