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240305013 = 321317120817
BaseRepresentation
bin11100101001011…
…00001101110101
3121202011202111200
432110230031311
5443004230023
635502323113
75645362464
oct1624541565
9552152450
10240305013
11113711793
1268589499
133aa29920
1423cb49db
151616b743
hexe52c375

240305013 has 24 divisors (see below), whose sum is σ = 395799768. Its totient is φ = 139180032.

The previous prime is 240305011. The next prime is 240305017. The reversal of 240305013 is 310503042.

It can be written as a sum of positive squares in 4 ways, for example, as 51022449 + 189282564 = 7143^2 + 13758^2 .

It is not a de Polignac number, because 240305013 - 21 = 240305011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240305011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58420 + ... + 62397.

It is an arithmetic number, because the mean of its divisors is an integer number (16491657).

Almost surely, 2240305013 is an apocalyptic number.

It is an amenable number.

240305013 is a deficient number, since it is larger than the sum of its proper divisors (155494755).

240305013 is a wasteful number, since it uses less digits than its factorization.

240305013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120853 (or 120850 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 240305013 is about 15501.7745113261. The cubic root of 240305013 is about 621.7096526070.

Adding to 240305013 its reverse (310503042), we get a palindrome (550808055).

The spelling of 240305013 in words is "two hundred forty million, three hundred five thousand, thirteen".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 120817 362451 1087353 1570621 2053889 4711863 6161667 14135589 18485001 26700557 80101671 240305013