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242318809 = 2937534261
BaseRepresentation
bin11100111000101…
…11110111011001
3121212222001220201
432130113313121
5444013200214
640013422201
76001450555
oct1634276731
9555861821
10242318809
11114867787
126919a961
133b283415
142427a865
1516418274
hexe717dd9

242318809 has 16 divisors (see below), whose sum is σ = 262368720. Its totient is φ = 223292160.

The previous prime is 242318807. The next prime is 242318819. The reversal of 242318809 is 908813242.

It can be written as a sum of positive squares in 8 ways, for example, as 89870400 + 152448409 = 9480^2 + 12347^2 .

It is a cyclic number.

It is not a de Polignac number, because 242318809 - 21 = 242318807 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242318801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54739 + ... + 58999.

It is an arithmetic number, because the mean of its divisors is an integer number (16398045).

Almost surely, 2242318809 is an apocalyptic number.

242318809 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

242318809 is a deficient number, since it is larger than the sum of its proper divisors (20049911).

242318809 is a wasteful number, since it uses less digits than its factorization.

242318809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380.

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 242318809 is about 15566.5927228793. The cubic root of 242318809 is about 623.4415006378.

The spelling of 242318809 in words is "two hundred forty-two million, three hundred eighteen thousand, eight hundred nine".

Divisors: 1 29 37 53 1073 1537 1961 4261 56869 123569 157657 225833 4572053 6549157 8355821 242318809