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378114 = 231117337
BaseRepresentation
bin1011100010100000010
3201012200020
41130110002
544044424
612034310
73133242
oct1342402
9635606
10378114
112390a0
12162996
13103149
149bb22
1577079
hex5c502

378114 has 32 divisors (see below), whose sum is σ = 876096. Its totient is φ = 107520.

The previous prime is 378101. The next prime is 378127. The reversal of 378114 is 411873.

It is an interprime number because it is at equal distance from previous prime (378101) and next prime (378127).

It is an Ulam number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 954 + ... + 1290.

It is an arithmetic number, because the mean of its divisors is an integer number (27378).

2378114 is an apocalyptic number.

378114 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 378114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438048).

378114 is an abundant number, since it is smaller than the sum of its proper divisors (497982).

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

378114 is a wasteful number, since it uses less digits than its factorization.

378114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370.

The product of its digits is 672, while the sum is 24.

The square root of 378114 is about 614.9097494755. The cubic root of 378114 is about 72.3115358777.

Adding to 378114 its reverse (411873), we get a palindrome (789987).

The spelling of 378114 in words is "three hundred seventy-eight thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 337 374 561 674 1011 1122 2022 3707 5729 7414 11121 11458 17187 22242 34374 63019 126038 189057 378114