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242326656 = 273211131471
BaseRepresentation
bin11100111000110…
…01110010000000
3121212222110200100
432130121302000
5444013423111
640013522400
76001512465
oct1634316200
9555873610
10242326656
11114872670
12691a3400
133b286b70
142427d66c
151641a756
hexe719c80

242326656 has 192 divisors, whose sum is σ = 819786240. Its totient is φ = 67737600.

The previous prime is 242326633. The next prime is 242326673. The reversal of 242326656 is 656623242.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 242326656.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164001 + ... + 165471.

It is an arithmetic number, because the mean of its divisors is an integer number (4269720).

Almost surely, 2242326656 is an apocalyptic number.

242326656 is a gapful number since it is divisible by the number (26) 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 242326656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409893120).

242326656 is an abundant number, since it is smaller than the sum of its proper divisors (577459584).

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

242326656 is a wasteful number, since it uses less digits than its factorization.

242326656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1500 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 242326656 is about 15566.8447670040. The cubic root of 242326656 is about 623.4482301920.

Adding to 242326656 its reverse (656623242), we get a palindrome (898949898).

The spelling of 242326656 in words is "two hundred forty-two million, three hundred twenty-six thousand, six hundred fifty-six".