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332826 = 231317251
BaseRepresentation
bin1010001010000011010
3121220112220
41101100122
541122301
611044510
72554224
oct1212032
9556486
10332826
1120806a
12140736
13b8650
1489414
1568936
hex5141a

332826 has 32 divisors (see below), whose sum is σ = 762048. Its totient is φ = 96000.

The previous prime is 332803. The next prime is 332837. The reversal of 332826 is 628233.

It is a super-2 number, since 2×3328262 = 221546292552, which contains 22 as substring.

It is a d-powerful number, because it can be written as 35 + 39 + 84 + 22 + 218 + 66 .

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 332796 and 332805.

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 15 ways as a sum of consecutive naturals, for example, 1201 + ... + 1451.

It is an arithmetic number, because the mean of its divisors is an integer number (23814).

2332826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381024).

332826 is an abundant number, since it is smaller than the sum of its proper divisors (429222).

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

332826 is a wasteful number, since it uses less digits than its factorization.

332826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286.

The product of its digits is 1728, while the sum is 24.

The square root of 332826 is about 576.9107383296. The cubic root of 332826 is about 69.3009330451.

The spelling of 332826 in words is "three hundred thirty-two thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 251 442 502 663 753 1326 1506 3263 4267 6526 8534 9789 12801 19578 25602 55471 110942 166413 332826