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379368 = 233211479
BaseRepresentation
bin1011100100111101000
3201021101200
41130213220
544114433
612044200
73140013
oct1344750
9637350
10379368
1123a030
12163660
131038a2
149c37a
1577613
hex5c9e8

379368 has 48 divisors (see below), whose sum is σ = 1123200. Its totient is φ = 114720.

The previous prime is 379343. The next prime is 379369. The reversal of 379368 is 863973.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (379369) by changing a digit.

379368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 553 + ... + 1031.

It is an arithmetic number, because the mean of its divisors is an integer number (23400).

2379368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561600).

379368 is an abundant number, since it is smaller than the sum of its proper divisors (743832).

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

379368 is a wasteful number, since it uses less digits than its factorization.

379368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 495 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 379368 is about 615.9285672868. The cubic root of 379368 is about 72.3913871097.

It can be divided in two parts, 379 and 368, that added together give a palindrome (747).

The spelling of 379368 in words is "three hundred seventy-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 479 792 958 1437 1916 2874 3832 4311 5269 5748 8622 10538 11496 15807 17244 21076 31614 34488 42152 47421 63228 94842 126456 189684 379368