Search a number
-
+
378369 = 32172473
BaseRepresentation
bin1011100011000000001
3201020000200
41130120001
544101434
612035413
73134055
oct1343001
9636020
10378369
11239302
12162b69
131032b4
149bc65
1577199
hex5c601

378369 has 12 divisors (see below), whose sum is σ = 578916. Its totient is φ = 237312.

The previous prime is 378361. The next prime is 378379. The reversal of 378369 is 963873.

It can be written as a sum of positive squares in 2 ways, for example, as 288369 + 90000 = 537^2 + 300^2 .

It is not a de Polignac number, because 378369 - 23 = 378361 is a prime.

It is a super-2 number, since 2×3783692 = 286326200322, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (378361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1084 + ... + 1389.

It is an arithmetic number, because the mean of its divisors is an integer number (48243).

2378369 is an apocalyptic number.

It is an amenable number.

378369 is a deficient number, since it is larger than the sum of its proper divisors (200547).

378369 is a wasteful number, since it uses less digits than its factorization.

378369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2493 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 378369 is about 615.1170620297. The cubic root of 378369 is about 72.3277878529.

Subtracting from 378369 its product of digits (27216), we obtain a palindrome (351153).

It can be divided in two parts, 378 and 369, that added together give a palindrome (747).

The spelling of 378369 in words is "three hundred seventy-eight thousand, three hundred sixty-nine".

Divisors: 1 3 9 17 51 153 2473 7419 22257 42041 126123 378369