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378848196 = 223217619033
BaseRepresentation
bin10110100101001…
…100001111000100
3222101212111000200
4112211030033010
51233441120241
6101332010500
712250104456
oct2645141704
9871774020
10378848196
11184939291
12a6a60a30
1360646b3c
143845a2d6
15233d64b6
hex1694c3c4

378848196 has 36 divisors (see below), whose sum is σ = 1013977692. Its totient is φ = 118854144.

The previous prime is 378848177. The next prime is 378848209. The reversal of 378848196 is 691848873.

378848196 is a `hidden beast` number, since 3 + 78 + 8 + 481 + 96 = 666.

378848196 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 294465600 + 84382596 = 17160^2 + 9186^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3788481962 = 287051911224908832, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 308905 + ... + 310128.

It is an arithmetic number, because the mean of its divisors is an integer number (28166047).

Almost surely, 2378848196 is an apocalyptic number.

378848196 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

378848196 is an abundant number, since it is smaller than the sum of its proper divisors (635129496).

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

378848196 is a wasteful number, since it uses less digits than its factorization.

378848196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619060 (or 619055 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 378848196 is about 19464.0231195917. The cubic root of 378848196 is about 723.5830882155.

It can be divided in two parts, 3788 and 48196, that added together give a square (51984 = 2282).

The spelling of 378848196 in words is "three hundred seventy-eight million, eight hundred forty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 619033 1238066 1857099 2476132 3714198 5571297 7428396 10523561 11142594 21047122 22285188 31570683 42094244 63141366 94712049 126282732 189424098 378848196