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242855340 = 2235713192341
BaseRepresentation
bin11100111100110…
…10110110101100
3121220222022220020
432132122312230
5444132332330
640033122140
76006144030
oct1636326654
9556868806
10242855340
111150a38a2
12693b9350
133b4106b0
142437a1c0
15164c2210
hexe79adac

242855340 has 192 divisors, whose sum is σ = 881341440. Its totient is φ = 48522240.

The previous prime is 242855329. The next prime is 242855351. The reversal of 242855340 is 43558242.

It is an interprime number because it is at equal distance from previous prime (242855329) and next prime (242855351).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 102570 + ... + 104910.

It is an arithmetic number, because the mean of its divisors is an integer number (4590320).

Almost surely, 2242855340 is an apocalyptic number.

242855340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242855340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440670720).

242855340 is an abundant number, since it is smaller than the sum of its proper divisors (638486100).

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

242855340 is a wasteful number, since it uses less digits than its factorization.

242855340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 242855340 is about 15583.8166056971. The cubic root of 242855340 is about 623.9012931477.

The spelling of 242855340 in words is "two hundred forty-two million, eight hundred fifty-five thousand, three hundred forty".