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378706536 = 233313134867
BaseRepresentation
bin10110100100101…
…001101001101000
3222101121021201000
4112210221221220
51233422102121
6101324555000
712245644455
oct2644515150
9871537630
10378706536
1118485190a
12a69b2a60
13605c7510
143842082c
15233a9526
hex16929a68

378706536 has 64 divisors (see below), whose sum is σ = 1132891200. Its totient is φ = 116524224.

The previous prime is 378706529. The next prime is 378706561. The reversal of 378706536 is 635607873.

378706536 is a `hidden beast` number, since 37 + 87 + 0 + 6 + 536 = 666.

378706536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 378706491 and 378706500.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 64626 + ... + 70241.

It is an arithmetic number, because the mean of its divisors is an integer number (17701425).

Almost surely, 2378706536 is an apocalyptic number.

378706536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

378706536 is an abundant number, since it is smaller than the sum of its proper divisors (754184664).

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

378706536 is a wasteful number, since it uses less digits than its factorization.

378706536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134895 (or 134885 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 378706536 is about 19460.3837577783. The cubic root of 378706536 is about 723.4928888867.

The spelling of 378706536 in words is "three hundred seventy-eight million, seven hundred six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 134867 269734 404601 539468 809202 1078936 1213803 1618404 1753271 2427606 3236808 3506542 3641409 4855212 5259813 7013084 7282818 9710424 10519626 14026168 14565636 15779439 21039252 29131272 31558878 42078504 47338317 63117756 94676634 126235512 189353268 378706536