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242409000 = 2335380803
BaseRepresentation
bin11100111001011…
…01111000101000
3121220010122122010
432130231320220
5444024042000
640015355520
76002304531
oct1634557050
9556118563
10242409000
11114919519
1269222ba0
133b2b54a2
14242a1688
1516434d50
hexe72de28

242409000 has 64 divisors (see below), whose sum is σ = 756325440. Its totient is φ = 64641600.

The previous prime is 242408977. The next prime is 242409007. The reversal of 242409000 is 904242.

It is not an unprimeable number, because it can be changed into a prime (242409007) 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, 37402 + ... + 43401.

It is an arithmetic number, because the mean of its divisors is an integer number (11817585).

Almost surely, 2242409000 is an apocalyptic number.

242409000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242409000 is an abundant number, since it is smaller than the sum of its proper divisors (513916440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242409000 is a wasteful number, since it uses less digits than its factorization.

242409000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80827 (or 80813 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 242409000 is about 15569.4893943250. The cubic root of 242409000 is about 623.5188393003.

The spelling of 242409000 in words is "two hundred forty-two million, four hundred nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 80803 161606 242409 323212 404015 484818 646424 808030 969636 1212045 1616060 1939272 2020075 2424090 3232120 4040150 4848180 6060225 8080300 9696360 10100375 12120450 16160600 20200750 24240900 30301125 40401500 48481800 60602250 80803000 121204500 242409000