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379936 = 2531383
BaseRepresentation
bin1011100110000100000
3201022011201
41130300200
544124221
612050544
73141454
oct1346040
9638151
10379936
1123a4a7
12163a54
13103c1b
149c664
1577891
hex5cc20

379936 has 24 divisors (see below), whose sum is σ = 774144. Its totient is φ = 183360.

The previous prime is 379931. The next prime is 379963. The reversal of 379936 is 639973.

379936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 379895 and 379904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379931) by changing a digit.

379936 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 801 + ... + 1183.

It is an arithmetic number, because the mean of its divisors is an integer number (32256).

2379936 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 379936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387072).

379936 is an abundant number, since it is smaller than the sum of its proper divisors (394208).

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

379936 is a wasteful number, since it uses less digits than its factorization.

379936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 416 counting only the distinct ones).

The product of its digits is 30618, while the sum is 37.

The square root of 379936 is about 616.3894872562. The cubic root of 379936 is about 72.4274978727.

Adding to 379936 its sum of digits (37), we get a palindrome (379973).

The spelling of 379936 in words is "three hundred seventy-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 124 248 383 496 766 992 1532 3064 6128 11873 12256 23746 47492 94984 189968 379936