331776 has 65 divisors (see below), whose sum is σ = 991111. Its totient is φ = 110592.

The previous prime is 331769. The next prime is 331777. The reversal of 331776 is 677133.

The square root of 331776 is 576.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)^{4}.

331776 is nontrivially palindromic in base 15.

It is an ABA number since it can be written as A⋅B^{A}, here for A=3, B=48.

It is a super-2 number, since 2×331776^{2} = 220150628352, which contains 22 as substring.

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

It is a Duffinian number.

It is a nialpdrome in base 9 and base 16.

It is not an unprimeable number, because it can be changed into a prime (331777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 110591 + 110592 + 110593.

331776 is a Friedman number, since it can be written as (6*(3+1))^(7/7+3), using all its digits and the basic arithmetic operations.

2^{331776} is an apocalyptic number.

331776 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

331776 is the 576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331776

331776 is an abundant number, since it is smaller than the sum of its proper divisors (659335).

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

331776 is an frugal number, since it uses more digits than its factorization.

331776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 5 counting only the distinct ones).

The product of its digits is 2646, while the sum is 27.

The cubic root of 331776 is about 69.2279793748.

The spelling of 331776 in words is "three hundred thirty-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 6144 6912 9216 10368 12288 13824 18432 20736 27648 36864 41472 55296 82944 110592 165888 331776

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