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331281 = 3236809
BaseRepresentation
bin1010000111000010001
3121211102200
41100320101
541100111
611033413
72546556
oct1207021
9554380
10331281
11206995
1213b869
13b7a32
1488a2d
1568256
hex50e11

331281 has 6 divisors (see below), whose sum is σ = 478530. Its totient is φ = 220848.

The previous prime is 331277. The next prime is 331283. The reversal of 331281 is 182133.

331281 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in only one way, i.e., 266256 + 65025 = 516^2 + 255^2 .

It is not a de Polignac number, because 331281 - 22 = 331277 is a prime.

It is a super-2 number, since 2×3312812 = 219494201922, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 331281.

It is not an unprimeable number, because it can be changed into a prime (331283) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 18396 + ... + 18413.

It is an arithmetic number, because the mean of its divisors is an integer number (79755).

2331281 is an apocalyptic number.

It is an amenable number.

331281 is a deficient number, since it is larger than the sum of its proper divisors (147249).

331281 is a wasteful number, since it uses less digits than its factorization.

331281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36815 (or 36812 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 331281 is about 575.5701521101. The cubic root of 331281 is about 69.1935335377.

The spelling of 331281 in words is "three hundred thirty-one thousand, two hundred eighty-one".

Divisors: 1 3 9 36809 110427 331281