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378353 is a prime number
BaseRepresentation
bin1011100010111110001
3201020000002
41130113301
544101403
612035345
73134033
oct1342761
9636002
10378353
11239298
12162b55
131032a1
149bc53
1577188
hex5c5f1

378353 has 2 divisors, whose sum is σ = 378354. Its totient is φ = 378352.

The previous prime is 378317. The next prime is 378361. The reversal of 378353 is 353873.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 350464 + 27889 = 592^2 + 167^2 .

It is a cyclic number.

It is not a de Polignac number, because 378353 - 26 = 378289 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 378353.

It is not a weakly prime, because it can be changed into another prime (378253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 189176 + 189177.

It is an arithmetic number, because the mean of its divisors is an integer number (189177).

2378353 is an apocalyptic number.

It is an amenable number.

378353 is a deficient number, since it is larger than the sum of its proper divisors (1).

378353 is an equidigital number, since it uses as much as digits as its factorization.

378353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560, while the sum is 29.

The square root of 378353 is about 615.1040562376. The cubic root of 378353 is about 72.3267683358.

The spelling of 378353 in words is "three hundred seventy-eight thousand, three hundred fifty-three".