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382104 = 23332961
BaseRepresentation
bin1011101010010011000
3201102011000
41131102120
544211404
612105000
73151002
oct1352230
9642130
10382104
11241098
12165160
13104bc8
149d372
1578339
hex5d498

382104 has 64 divisors (see below), whose sum is σ = 1116000. Its totient is φ = 120960.

The previous prime is 382103. The next prime is 382117. The reversal of 382104 is 401283.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382103) 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, 6234 + ... + 6294.

2382104 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 382104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558000).

382104 is an abundant number, since it is smaller than the sum of its proper divisors (733896).

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

382104 is a wasteful number, since it uses less digits than its factorization.

382104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 382104 is about 618.1456139131. The cubic root of 382104 is about 72.5649991795.

Adding to 382104 its reverse (401283), we get a palindrome (783387).

The spelling of 382104 in words is "three hundred eighty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 61 72 87 108 116 122 174 183 216 232 244 261 348 366 488 522 549 696 732 783 1044 1098 1464 1566 1647 1769 2088 2196 3132 3294 3538 4392 5307 6264 6588 7076 10614 13176 14152 15921 21228 31842 42456 47763 63684 95526 127368 191052 382104