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332136 = 23327659
BaseRepresentation
bin1010001000101101000
3121212121100
41101011220
541112021
611041400
72552220
oct1210550
9555540
10332136
112075a2
12140260
13b823c
1489080
1568626
hex51168

332136 has 48 divisors (see below), whose sum is σ = 1029600. Its totient is φ = 94752.

The previous prime is 332117. The next prime is 332147. The reversal of 332136 is 631233.

It is a happy number.

It is a super-2 number, since 2×3321362 = 220628644992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 332136.

It is an unprimeable number.

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, 175 + ... + 833.

It is an arithmetic number, because the mean of its divisors is an integer number (21450).

2332136 is an apocalyptic number.

332136 is a gapful number since it is divisible by the number (36) 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 332136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514800).

332136 is an abundant number, since it is smaller than the sum of its proper divisors (697464).

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

332136 is a wasteful number, since it uses less digits than its factorization.

332136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 671 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 332136 is about 576.3124152749. The cubic root of 332136 is about 69.2530093789.

Adding to 332136 its reverse (631233), we get a palindrome (963369).

The spelling of 332136 in words is "three hundred thirty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 659 1318 1977 2636 3954 4613 5272 5931 7908 9226 11862 13839 15816 18452 23724 27678 36904 41517 47448 55356 83034 110712 166068 332136