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1332288 = 2634257
BaseRepresentation
bin101000101010001000000
32111200120000
411011101000
5320113123
644320000
714216136
oct5052100
92450500
101332288
1182aa71
12543000
13378549
14269756
151b4b43
hex145440

1332288 has 70 divisors (see below), whose sum is σ = 3964686. Its totient is φ = 442368.

The previous prime is 1332283. The next prime is 1332313. The reversal of 1332288 is 8822331.

It can be written as a sum of positive squares in only one way, i.e., 1327104 + 5184 = 1152^2 + 72^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a nialpdrome in base 6 and base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332281) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5056 + ... + 5312.

21332288 is an apocalyptic number.

1332288 is a gapful number since it is divisible by the number (18) 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 1332288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982343).

1332288 is an abundant number, since it is smaller than the sum of its proper divisors (2632398).

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

1332288 is an equidigital number, since it uses as much as digits as its factorization.

1332288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 262 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1332288 is about 1154.2478070155. The cubic root of 1332288 is about 110.0354706545.

The spelling of 1332288 in words is "one million, three hundred thirty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 257 288 324 432 514 576 648 771 864 1028 1296 1542 1728 2056 2313 2592 3084 4112 4626 5184 6168 6939 8224 9252 12336 13878 16448 18504 20817 24672 27756 37008 41634 49344 55512 74016 83268 111024 148032 166536 222048 333072 444096 666144 1332288