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146328 = 23371367
BaseRepresentation
bin100011101110011000
321102201120
4203232120
514140303
63045240
71146420
oct435630
9242646
10146328
119aa36
1270820
13517b0
143b480
152d553
hex23b98

146328 has 64 divisors (see below), whose sum is σ = 456960. Its totient is φ = 38016.

The previous prime is 146323. The next prime is 146347. The reversal of 146328 is 823641.

Adding to 146328 its reverse (823641), we get a palindrome (969969).

It can be divided in two parts, 146 and 328, that added together give a palindrome (474).

It is a happy number.

146328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

Its product of digits (1152) is a multiple of the sum of its prime factors (96).

It is a junction number, because it is equal to n+sod(n) for n = 146298 and 146307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146323) by changing a digit.

146328 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 15 ways as a sum of consecutive naturals, for example, 2151 + ... + 2217.

It is an arithmetic number, because the mean of its divisors is an integer number (7140).

2146328 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 146328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228480).

146328 is an abundant number, since it is smaller than the sum of its proper divisors (310632).

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

146328 is a wasteful number, since it uses less digits than its factorization.

146328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 92 counting only the distinct ones).

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

The square root of 146328 is about 382.5284303160. The cubic root of 146328 is about 52.6957769601.

The spelling of 146328 in words is "one hundred forty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 67 78 84 91 104 134 156 168 182 201 268 273 312 364 402 469 536 546 728 804 871 938 1092 1407 1608 1742 1876 2184 2613 2814 3484 3752 5226 5628 6097 6968 10452 11256 12194 18291 20904 24388 36582 48776 73164 146328