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242063360 = 2115711307
BaseRepresentation
bin11100110110110…
…01100000000000
3121212111002111122
432123121200000
5443432011420
640004131412
75666335040
oct1633314000
9555432448
10242063360
11114702870
1269096b68
133b1c4076
1424211720
15163b7725
hexe6d9800

242063360 has 192 divisors, whose sum is σ = 726485760. Its totient is φ = 75202560.

The previous prime is 242063333. The next prime is 242063369. The reversal of 242063360 is 63360242.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242063369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 788327 + ... + 788633.

It is an arithmetic number, because the mean of its divisors is an integer number (3783780).

Almost surely, 2242063360 is an apocalyptic number.

242063360 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 242063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363242880).

242063360 is an abundant number, since it is smaller than the sum of its proper divisors (484422400).

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

242063360 is a wasteful number, since it uses less digits than its factorization.

242063360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 242063360 is about 15558.3855203553. The cubic root of 242063360 is about 623.2223492594. Note that the first 3 decimals are identical.

The spelling of 242063360 in words is "two hundred forty-two million, sixty-three thousand, three hundred sixty".