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74328 = 23319163
BaseRepresentation
bin10010001001011000
310202221220
4102021120
54334303
61332040
7426462
oct221130
9122856
1074328
1150931
1237020
1327aa7
141d132
1517053
hex12258

74328 has 32 divisors (see below), whose sum is σ = 196800. Its totient is φ = 23328.

The previous prime is 74323. The next prime is 74353. The reversal of 74328 is 82347.

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

It is a d-powerful number, because it can be written as 7 + 48 + 34 + 213 + 83 .

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 74298 and 74307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 375 + ... + 537.

It is an arithmetic number, because the mean of its divisors is an integer number (6150).

274328 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 74328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98400).

74328 is an abundant number, since it is smaller than the sum of its proper divisors (122472).

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

74328 is a wasteful number, since it uses less digits than its factorization.

74328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 187 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 74328 is about 272.6316195895. The cubic root of 74328 is about 42.0453025915.

The spelling of 74328 in words is "seventy-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 163 228 326 456 489 652 978 1304 1956 3097 3912 6194 9291 12388 18582 24776 37164 74328