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332816 = 24113161
BaseRepresentation
bin1010001010000010000
3121220112112
41101100100
541122231
611044452
72554211
oct1212020
9556475
10332816
11208060
12140728
13b8643
1489408
156892b
hex51410

332816 has 40 divisors (see below), whose sum is σ = 738048. Its totient is φ = 144000.

The previous prime is 332803. The next prime is 332837. The reversal of 332816 is 618233.

It is a super-2 number, since 2×3328162 = 221532979712, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 332791 and 332800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5426 + ... + 5486.

2332816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369024).

332816 is an abundant number, since it is smaller than the sum of its proper divisors (405232).

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

332816 is a wasteful number, since it uses less digits than its factorization.

332816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 332816 is about 576.9020714125. The cubic root of 332816 is about 69.3002389724.

The spelling of 332816 in words is "three hundred thirty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 31 44 61 62 88 122 124 176 244 248 341 488 496 671 682 976 1342 1364 1891 2684 2728 3782 5368 5456 7564 10736 15128 20801 30256 41602 83204 166408 332816