Search a number
-
+
242443032 = 233131097129
BaseRepresentation
bin11100111001101…
…10001100011000
3121220012101022120
432130312030120
5444031134112
640020221240
76002505666
oct1634661430
9556171276
10242443032
11114942047
126923a820
133b2c7b20
14242adc36
151643ee8c
hexe736318

242443032 has 64 divisors (see below), whose sum is σ = 658812000. Its totient is φ = 73903104.

The previous prime is 242442997. The next prime is 242443039. The reversal of 242443032 is 230344242.

242443032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 242442993 and 242443011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242443039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30444 + ... + 37572.

Almost surely, 2242443032 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 242443032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329406000).

242443032 is an abundant number, since it is smaller than the sum of its proper divisors (416368968).

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

242443032 is a wasteful number, since it uses less digits than its factorization.

242443032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7260 (or 7256 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 242443032 is about 15570.5822627158. The cubic root of 242443032 is about 623.5480167101.

Adding to 242443032 its reverse (230344242), we get a palindrome (472787274).

The spelling of 242443032 in words is "two hundred forty-two million, four hundred forty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 109 156 218 312 327 436 654 872 1308 1417 2616 2834 4251 5668 7129 8502 11336 14258 17004 21387 28516 34008 42774 57032 85548 92677 171096 185354 278031 370708 556062 741416 777061 1112124 1554122 2224248 2331183 3108244 4662366 6216488 9324732 10101793 18649464 20203586 30305379 40407172 60610758 80814344 121221516 242443032