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379224 = 233223229
BaseRepresentation
bin1011100100101011000
3201021012100
41130211120
544113344
612043400
73136416
oct1344530
9637170
10379224
11239a0a
12163560
131037c1
149c2b6
1577569
hex5c958

379224 has 48 divisors (see below), whose sum is σ = 1076400. Its totient is φ = 120384.

The previous prime is 379207. The next prime is 379273. The reversal of 379224 is 422973.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

379224 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, 1542 + ... + 1770.

It is an arithmetic number, because the mean of its divisors is an integer number (22425).

2379224 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 379224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538200).

379224 is an abundant number, since it is smaller than the sum of its proper divisors (697176).

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

379224 is a wasteful number, since it uses less digits than its factorization.

379224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 257 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 379224 is about 615.8116595194. The cubic root of 379224 is about 72.3822265418.

It can be divided in two parts, 37 and 9224, that added together give a cube (9261 = 213).

The spelling of 379224 in words is "three hundred seventy-nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 229 276 414 458 552 687 828 916 1374 1656 1832 2061 2748 4122 5267 5496 8244 10534 15801 16488 21068 31602 42136 47403 63204 94806 126408 189612 379224