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242322344 = 231121671499
BaseRepresentation
bin11100111000110…
…00101110101000
3121212222020202122
432130120232220
5444013303334
640013450412
76001464065
oct1634305650
9555866678
10242322344
1111486a400
12691a0a08
133b284c04
142427bc6c
151641932e
hexe718ba8

242322344 has 48 divisors (see below), whose sum is σ = 502740000. Its totient is φ = 109413920.

The previous prime is 242322343. The next prime is 242322349. The reversal of 242322344 is 443223242.

It is a happy number.

242322344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242322343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160907 + ... + 162405.

It is an arithmetic number, because the mean of its divisors is an integer number (10473750).

Almost surely, 2242322344 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 242322344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251370000).

242322344 is an abundant number, since it is smaller than the sum of its proper divisors (260417656).

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

242322344 is a wasteful number, since it uses less digits than its factorization.

242322344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1679 counting only the distinct ones).

The product of its digits is 9216, while the sum is 26.

The square root of 242322344 is about 15566.7062669018. The cubic root of 242322344 is about 623.4445322569. Note that the first 3 decimals are identical.

Adding to 242322344 its reverse (443223242), we get a palindrome (685545586).

The spelling of 242322344 in words is "two hundred forty-two million, three hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 121 167 242 334 484 668 968 1336 1499 1837 2998 3674 5996 7348 11992 14696 16489 20207 32978 40414 65956 80828 131912 161656 181379 250333 362758 500666 725516 1001332 1451032 2002664 2753663 5507326 11014652 22029304 30290293 60580586 121161172 242322344