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380328 = 233132353
BaseRepresentation
bin1011100110110101000
3201022201020
41130312220
544132303
612052440
73142554
oct1346650
9638636
10380328
1123a823
12164120
13104160
149c864
1577a53
hex5cda8

380328 has 64 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 109824.

The previous prime is 380327. The next prime is 380329. The reversal of 380328 is 823083.

It is an interprime number because it is at equal distance from previous prime (380327) and next prime (380329).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 380298 and 380307.

It is not an unprimeable number, because it can be changed into a prime (380327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7150 + ... + 7202.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2380328 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 380328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

380328 is an abundant number, since it is smaller than the sum of its proper divisors (708312).

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

380328 is a wasteful number, since it uses less digits than its factorization.

380328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 380328 is about 616.7073860430. The cubic root of 380328 is about 72.4523984001.

The spelling of 380328 in words is "three hundred eighty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 53 69 78 92 104 106 138 156 159 184 212 276 299 312 318 424 552 598 636 689 897 1196 1219 1272 1378 1794 2067 2392 2438 2756 3588 3657 4134 4876 5512 7176 7314 8268 9752 14628 15847 16536 29256 31694 47541 63388 95082 126776 190164 380328