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379344 = 24371129
BaseRepresentation
bin1011100100111010000
3201021100210
41130213100
544114334
612044120
73136650
oct1344720
9637323
10379344
1123a009
12163640
13103884
149c360
15775e9
hex5c9d0

379344 has 40 divisors (see below), whose sum is σ = 1120960. Its totient is φ = 108288.

The previous prime is 379343. The next prime is 379369. The reversal of 379344 is 443973.

It is a super-3 number, since 3×3793443 = 163764933302218752, which contains 333 as substring.

It is a d-powerful number, because it can be written as 39 + 74 + 39 + 95 + 47 + 49 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229 + ... + 900.

It is an arithmetic number, because the mean of its divisors is an integer number (28024).

2379344 is an apocalyptic number.

It is an amenable number.

379344 is an abundant number, since it is smaller than the sum of its proper divisors (741616).

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

379344 is a wasteful number, since it uses less digits than its factorization.

379344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1141 counting only the distinct ones).

The product of its digits is 9072, while the sum is 30.

The square root of 379344 is about 615.9090841999. The cubic root of 379344 is about 72.3898605094.

The spelling of 379344 in words is "three hundred seventy-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1129 2258 3387 4516 6774 7903 9032 13548 15806 18064 23709 27096 31612 47418 54192 63224 94836 126448 189672 379344