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64328 = 23111743
BaseRepresentation
bin1111101101001000
310021020112
433231020
54024303
61213452
7355355
oct175510
9107215
1064328
1144370
1231288
1323384
141962c
15140d8
hexfb48

64328 has 32 divisors (see below), whose sum is σ = 142560. Its totient is φ = 26880.

The previous prime is 64327. The next prime is 64333. The reversal of 64328 is 82346.

It is a happy number.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 64328.

It is not an unprimeable number, because it can be changed into a prime (64327) 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, 1475 + ... + 1517.

It is an arithmetic number, because the mean of its divisors is an integer number (4455).

264328 is an apocalyptic number.

64328 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71280).

64328 is an abundant number, since it is smaller than the sum of its proper divisors (78232).

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

64328 is a wasteful number, since it uses less digits than its factorization.

64328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 73 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 64328 is about 253.6296512634. The cubic root of 64328 is about 40.0682169285.

It can be divided in two parts, 6 and 4328, that added together give a palindrome (4334).

The spelling of 64328 in words is "sixty-four thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 17 22 34 43 44 68 86 88 136 172 187 344 374 473 731 748 946 1462 1496 1892 2924 3784 5848 8041 16082 32164 64328