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242431413 = 3759389503
BaseRepresentation
bin11100111001100…
…11010110110101
3121220011210101020
432130303112311
5444030301123
640020051353
76002430060
oct1634632665
9556153336
10242431413
11114934344
1269233b59
133b2c2753
14242a98d7
151643b7e3
hexe7335b5

242431413 has 32 divisors (see below), whose sum is σ = 377395200. Its totient is φ = 135564096.

The previous prime is 242431391. The next prime is 242431433. The reversal of 242431413 is 314134242.

It is not a de Polignac number, because 242431413 - 29 = 242430901 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242431433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481720 + ... + 482222.

It is an arithmetic number, because the mean of its divisors is an integer number (11793600).

Almost surely, 2242431413 is an apocalyptic number.

It is an amenable number.

242431413 is a deficient number, since it is larger than the sum of its proper divisors (134963787).

242431413 is a wasteful number, since it uses less digits than its factorization.

242431413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961.

The product of its digits is 2304, while the sum is 24.

The square root of 242431413 is about 15570.2091508110. The cubic root of 242431413 is about 623.5380554420.

Adding to 242431413 its reverse (314134242), we get a palindrome (556565655).

The spelling of 242431413 in words is "two hundred forty-two million, four hundred thirty-one thousand, four hundred thirteen".

Divisors: 1 3 7 21 59 177 389 413 503 1167 1239 1509 2723 3521 8169 10563 22951 29677 68853 89031 160657 195667 207739 481971 587001 623217 1369669 4109007 11544353 34633059 80810471 242431413