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242247324 = 22311329523
BaseRepresentation
bin11100111000001…
…10011010011100
3121212211102212010
432130012122130
5444003403244
640012111220
76001032264
oct1634063234
9555742763
10242247324
11114819000
1269165510
133b259a17
142425c7a4
1516401eb9
hexe70669c

242247324 has 96 divisors (see below), whose sum is σ = 644394240. Its totient is φ = 70741440.

The previous prime is 242247319. The next prime is 242247347. The reversal of 242247324 is 423742242.

242247324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242247291 and 242247300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462927 + ... + 463449.

It is an arithmetic number, because the mean of its divisors is an integer number (6712440).

Almost surely, 2242247324 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 242247324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322197120).

242247324 is an abundant number, since it is smaller than the sum of its proper divisors (402146916).

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

242247324 is a wasteful number, since it uses less digits than its factorization.

242247324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 568 counting only the distinct ones).

The product of its digits is 21504, while the sum is 30.

The square root of 242247324 is about 15564.2964505306. The cubic root of 242247324 is about 623.3801887116.

Adding to 242247324 its reverse (423742242), we get a palindrome (665989566).

The spelling of 242247324 in words is "two hundred forty-two million, two hundred forty-seven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 121 132 174 242 319 348 363 484 523 638 726 957 1046 1276 1331 1452 1569 1914 2092 2662 3138 3509 3828 3993 5324 5753 6276 7018 7986 10527 11506 14036 15167 15972 17259 21054 23012 30334 34518 38599 42108 45501 60668 63283 69036 77198 91002 115797 126566 154396 166837 182004 189849 231594 253132 333674 379698 463188 500511 667348 696113 759396 1001022 1392226 1835207 2002044 2088339 2784452 3670414 4176678 5505621 7340828 8353356 11011242 20187277 22022484 40374554 60561831 80749108 121123662 242247324