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242356000 = 255360589
BaseRepresentation
bin11100111001000…
…00111100100000
3121220000221221011
432130200330200
5444020343000
640014310304
76001664155
oct1634407440
9556027834
10242356000
11114892717
12691b8394
133b297323
142428a22c
15164242ba
hexe720f20

242356000 has 48 divisors (see below), whose sum is σ = 595478520. Its totient is φ = 96940800.

The previous prime is 242355983. The next prime is 242356003. The reversal of 242356000 is 653242.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 120209296 + 122146704 = 10964^2 + 11052^2 .

It is not an unprimeable number, because it can be changed into a prime (242356003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26295 + ... + 34294.

Almost surely, 2242356000 is an apocalyptic number.

242356000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242356000 is an abundant number, since it is smaller than the sum of its proper divisors (353122520).

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

242356000 is an equidigital number, since it uses as much as digits as its factorization.

242356000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60614 (or 60596 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 242356000 is about 15567.7872544559. The cubic root of 242356000 is about 623.4733941955.

The spelling of 242356000 in words is "two hundred forty-two million, three hundred fifty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 60589 121178 242356 302945 484712 605890 969424 1211780 1514725 1938848 2423560 3029450 4847120 6058900 7573625 9694240 12117800 15147250 24235600 30294500 48471200 60589000 121178000 242356000