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88330 = 2511273
BaseRepresentation
bin10101100100001010
311111011111
4111210022
510311310
61520534
7515344
oct254412
9144144
1088330
1160400
124314a
1331288
1424294
151b28a
hex1590a

88330 has 24 divisors (see below), whose sum is σ = 177156. Its totient is φ = 31680.

The previous prime is 88327. The next prime is 88337. The reversal of 88330 is 3388.

88330 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 88209 + 121 = 297^2 + 11^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (88337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1174 + ... + 1246.

288330 is an apocalyptic number.

88330 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88578).

88330 is a wasteful number, since it uses less digits than its factorization.

88330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 88330 is about 297.2036338943. The cubic root of 88330 is about 44.5351319587.

It can be divided in two parts, 8 and 8330, that added together give a palindrome (8338).

The spelling of 88330 in words is "eighty-eight thousand, three hundred thirty".

Divisors: 1 2 5 10 11 22 55 73 110 121 146 242 365 605 730 803 1210 1606 4015 8030 8833 17666 44165 88330