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242133344 = 25431491181
BaseRepresentation
bin11100110111010…
…10100101100000
3121212121122111122
432123222211200
5443441231334
640005431412
76000046055
oct1633524540
9555548448
10242133344
11114750402
126910b568
133b219b8b
142422d02c
15163cd32e
hexe6ea960

242133344 has 48 divisors (see below), whose sum is σ = 491475600. Its totient is φ = 117358080.

The previous prime is 242133277. The next prime is 242133347. The reversal of 242133344 is 443331242.

242133344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242133347) 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, 204434 + ... + 205614.

It is an arithmetic number, because the mean of its divisors is an integer number (10239075).

Almost surely, 2242133344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242133344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245737800).

242133344 is an abundant number, since it is smaller than the sum of its proper divisors (249342256).

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

242133344 is a wasteful number, since it uses less digits than its factorization.

242133344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1375 counting only the distinct ones).

The product of its digits is 6912, while the sum is 26.

The square root of 242133344 is about 15560.6344343667. The cubic root of 242133344 is about 623.2824043214.

Adding to 242133344 its reverse (443331242), we get a palindrome (685464586).

The spelling of 242133344 in words is "two hundred forty-two million, one hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 43 86 149 172 298 344 596 688 1181 1192 1376 2362 2384 4724 4768 6407 9448 12814 18896 25628 37792 50783 51256 101566 102512 175969 203132 205024 351938 406264 703876 812528 1407752 1625056 2815504 5631008 7566667 15133334 30266668 60533336 121066672 242133344