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336141 = 3213317
BaseRepresentation
bin1010010000100001101
3122002002200
41102010031
541224031
611112113
72600001
oct1220415
9562080
10336141
1120a603
12142639
13ba000
148a701
15698e6
hex5210d

336141 has 24 divisors (see below), whose sum is σ = 556920. Its totient is φ = 194688.

The previous prime is 336121. The next prime is 336143. The reversal of 336141 is 141633.

It can be written as a sum of positive squares in 4 ways, for example, as 60516 + 275625 = 246^2 + 525^2 .

It is not a de Polignac number, because 336141 - 25 = 336109 is a prime.

It is a super-2 number, since 2×3361412 = 225981543762, which contains 22 as substring.

It is a Curzon number.

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 336141.

It is not an unprimeable number, because it can be changed into a prime (336143) 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 23 ways as a sum of consecutive naturals, for example, 19765 + ... + 19781.

It is an arithmetic number, because the mean of its divisors is an integer number (23205).

2336141 is an apocalyptic number.

It is an amenable number.

336141 is a deficient number, since it is larger than the sum of its proper divisors (220779).

336141 is a wasteful number, since it uses less digits than its factorization.

336141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 33 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 336141 is about 579.7766811454. The cubic root of 336141 is about 69.5302561361.

Adding to 336141 its reverse (141633), we get a palindrome (477774).

The spelling of 336141 in words is "three hundred thirty-six thousand, one hundred forty-one".

Divisors: 1 3 9 13 17 39 51 117 153 169 221 507 663 1521 1989 2197 2873 6591 8619 19773 25857 37349 112047 336141