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242120340 = 22355711647
BaseRepresentation
bin11100110111001…
…11011010010100
3121212120222200000
432123213122110
5443440322330
640005251300
75666663130
oct1633473224
9555528600
10242120340
11114741660
1269103b30
133b213c97
14242283c0
15163c9560
hexe6e7694

242120340 has 288 divisors, whose sum is σ = 951035904. Its totient is φ = 50232960.

The previous prime is 242120309. The next prime is 242120369. The reversal of 242120340 is 43021242.

242120340 is a `hidden beast` number, since 2 + 421 + 203 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 373897 + ... + 374543.

It is an arithmetic number, because the mean of its divisors is an integer number (3302208).

Almost surely, 2242120340 is an apocalyptic number.

242120340 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 242120340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475517952).

242120340 is an abundant number, since it is smaller than the sum of its proper divisors (708915564).

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

242120340 is a wasteful number, since it uses less digits than its factorization.

242120340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 242120340 is about 15560.2165794696. The cubic root of 242120340 is about 623.2712461315.

Adding to 242120340 its reverse (43021242), we get a palindrome (285141582).

The spelling of 242120340 in words is "two hundred forty-two million, one hundred twenty thousand, three hundred forty".