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378399 = 3737487
BaseRepresentation
bin1011100011000011111
3201020001210
41130120133
544102044
612035503
73134130
oct1343037
9636053
10378399
1123932a
12162b93
13103308
149bc87
15771b9
hex5c61f

378399 has 16 divisors (see below), whose sum is σ = 593408. Its totient is φ = 209952.

The previous prime is 378379. The next prime is 378401. The reversal of 378399 is 993873.

It is a happy number.

It is not a de Polignac number, because 378399 - 29 = 377887 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 311 + 75 + 311 + 8 + 93 + 94 .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378379) 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 in 15 ways as a sum of consecutive naturals, for example, 534 + ... + 1020.

It is an arithmetic number, because the mean of its divisors is an integer number (37088).

2378399 is an apocalyptic number.

378399 is a deficient number, since it is larger than the sum of its proper divisors (215009).

378399 is a wasteful number, since it uses less digits than its factorization.

378399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534.

The product of its digits is 40824, while the sum is 39.

The square root of 378399 is about 615.1414471485. The cubic root of 378399 is about 72.3296993698.

It can be divided in two parts, 378 and 399, that added together give a palindrome (777).

The spelling of 378399 in words is "three hundred seventy-eight thousand, three hundred ninety-nine".

Divisors: 1 3 7 21 37 111 259 487 777 1461 3409 10227 18019 54057 126133 378399