Search a number
-
+
242443240 = 235133712601
BaseRepresentation
bin11100111001101…
…10001111101000
3121220012101121021
432130312033220
5444031140430
640020222224
76002506414
oct1634661750
9556171537
10242443240
11114942216
126923a974
133b2c7c50
14242add44
151644007a
hexe7363e8

242443240 has 64 divisors (see below), whose sum is σ = 603383760. Its totient is φ = 87091200.

The previous prime is 242443231. The next prime is 242443247. The reversal of 242443240 is 42344242.

It can be written as a sum of positive squares in 8 ways, for example, as 92968164 + 149475076 = 9642^2 + 12226^2 .

It is not an unprimeable number, because it can be changed into a prime (242443247) 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, 12940 + ... + 25540.

Almost surely, 2242443240 is an apocalyptic number.

242443240 is a gapful number since it is divisible by the number (20) 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 242443240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301691880).

242443240 is an abundant number, since it is smaller than the sum of its proper divisors (360940520).

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

242443240 is a wasteful number, since it uses less digits than its factorization.

242443240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12662 (or 12658 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 242443240 is about 15570.5889419765. The cubic root of 242443240 is about 623.5481950310.

Adding to 242443240 its reverse (42344242), we get a palindrome (284787482).

The spelling of 242443240 in words is "two hundred forty-two million, four hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 740 962 1480 1924 2405 3848 4810 9620 12601 19240 25202 50404 63005 100808 126010 163813 252020 327626 466237 504040 655252 819065 932474 1310504 1638130 1864948 2331185 3276260 3729896 4662370 6061081 6552520 9324740 12122162 18649480 24244324 30305405 48488648 60610810 121221620 242443240