Search a number
-
+
378538461 = 33715712757
BaseRepresentation
bin10110100100000…
…000100111011101
3222101021202011000
4112210000213131
51233401212321
6101321220513
712244344450
oct2644004735
9871252130
10378538461
11184747604
12a6931739
1360568b72
14383b9497
1523374826
hex169009dd

378538461 has 32 divisors (see below), whose sum is σ = 645044480. Its totient is φ = 214913088.

The previous prime is 378538451. The next prime is 378538469. The reversal of 378538461 is 164835873.

378538461 is a `hidden beast` number, since 3 + 78 + 538 + 46 + 1 = 666.

It is not a de Polignac number, because 378538461 - 211 = 378536413 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

378538461 is a modest number, since divided by 538461 gives 378 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378538469) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 23295 + ... + 36051.

It is an arithmetic number, because the mean of its divisors is an integer number (20157640).

Almost surely, 2378538461 is an apocalyptic number.

It is an amenable number.

378538461 is a deficient number, since it is larger than the sum of its proper divisors (266506019).

378538461 is a wasteful number, since it uses less digits than its factorization.

378538461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12930 (or 12924 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 378538461 is about 19456.0648899000. The cubic root of 378538461 is about 723.3858411249.

The spelling of 378538461 in words is "three hundred seventy-eight million, five hundred thirty-eight thousand, four hundred sixty-one".

Divisors: 1 3 7 9 21 27 63 157 189 471 1099 1413 3297 4239 9891 12757 29673 38271 89299 114813 267897 344439 803691 2002849 2411073 6008547 14019943 18025641 42059829 54076923 126179487 378538461