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332928 = 2732172
BaseRepresentation
bin1010001010010000000
3121220200200
41101102000
541123203
611045200
72554431
oct1212200
9556620
10332928
11208152
12140800
13b86cb
1489488
15689a3
hex51480

332928 has 72 divisors (see below), whose sum is σ = 1017705. Its totient is φ = 104448.

The previous prime is 332921. The next prime is 332933. The reversal of 332928 is 829233.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Cunningham number, because it is equal to 5772-1.

It can be written as a sum of positive squares in 2 ways, for example, as 304704 + 28224 = 552^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=408.

It is a super-2 number, since 2×3329282 = 221682106368, which contains 22 as substring.

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

Its product of digits (2592) is a multiple of the sum of its prime factors (54).

It is not an unprimeable number, because it can be changed into a prime (332921) by changing a digit.

332928 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 8 ways as a sum of consecutive naturals, for example, 19576 + ... + 19592.

332928 is a Friedman number, since it can be written as 8*(23*9-3)^2, using all its digits and the basic arithmetic operations.

2332928 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 332928

332928 is an abundant number, since it is smaller than the sum of its proper divisors (684777).

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

332928 is a wasteful number, since it uses less digits than its factorization.

332928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 22 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 332928 is about 576.9991334482. Note that the first 3 decimals coincide. The cubic root of 332928 is about 69.3080117921.

Multiplying 332928 by its product of digits (2592), we get a square (862949376 = 293762).

The spelling of 332928 in words is "three hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 289 306 384 408 544 576 578 612 816 867 1088 1152 1156 1224 1632 1734 2176 2312 2448 2601 3264 3468 4624 4896 5202 6528 6936 9248 9792 10404 13872 18496 19584 20808 27744 36992 41616 55488 83232 110976 166464 332928