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378133 = 727717
BaseRepresentation
bin1011100010100010101
3201012200221
41130110111
544100013
612034341
73133300
oct1342425
9635627
10378133
11239108
121629b1
13103162
149bb37
157708d
hex5c515

378133 has 6 divisors (see below), whose sum is σ = 439926. Its totient is φ = 324072.

The previous prime is 378127. The next prime is 378137. The reversal of 378133 is 331873.

It can be written as a sum of positive squares in only one way, i.e., 321489 + 56644 = 567^2 + 238^2 .

It is not a de Polignac number, because 378133 - 25 = 378101 is a prime.

It is a super-3 number, since 3×3781333 = 162201548333035911, which contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 378098 and 378107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378137) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3810 + ... + 3907.

It is an arithmetic number, because the mean of its divisors is an integer number (73321).

2378133 is an apocalyptic number.

It is an amenable number.

378133 is a deficient number, since it is larger than the sum of its proper divisors (61793).

378133 is an equidigital number, since it uses as much as digits as its factorization.

378133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7731 (or 7724 counting only the distinct ones).

The product of its digits is 1512, while the sum is 25.

The square root of 378133 is about 614.9251987031. The cubic root of 378133 is about 72.3127470611.

The spelling of 378133 in words is "three hundred seventy-eight thousand, one hundred thirty-three".

Divisors: 1 7 49 7717 54019 378133