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240414213 = 31313147057
BaseRepresentation
bin11100101010001…
…10111000000101
3121202101022022010
432111012320011
5443021223323
635504524433
75646326034
oct1625067005
9552338263
10240414213
11113786836
1268620719
133aa67540
1423d0271b
151618dc93
hexe546e05

240414213 has 16 divisors (see below), whose sum is σ = 347852736. Its totient is φ = 146814720.

The previous prime is 240414211. The next prime is 240414217. The reversal of 240414213 is 312414042.

It is not a de Polignac number, because 240414213 - 21 = 240414211 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 240414213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240414211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18420 + ... + 28637.

It is an arithmetic number, because the mean of its divisors is an integer number (21740796).

Almost surely, 2240414213 is an apocalyptic number.

It is an amenable number.

240414213 is a deficient number, since it is larger than the sum of its proper divisors (107438523).

240414213 is a wasteful number, since it uses less digits than its factorization.

240414213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47204.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 240414213 is about 15505.2962886879. The cubic root of 240414213 is about 621.8038112933.

Adding to 240414213 its reverse (312414042), we get a palindrome (552828255).

The spelling of 240414213 in words is "two hundred forty million, four hundred fourteen thousand, two hundred thirteen".

Divisors: 1 3 13 39 131 393 1703 5109 47057 141171 611741 1835223 6164467 18493401 80138071 240414213