Search a number
-
+
424144240 = 24513439929
BaseRepresentation
bin11001010001111…
…110110101110000
31002120002202111221
4121101332311300
51332040103430
6110030514424
713340111062
oct3121766560
91076082457
10424144240
111a8466933
12ba065a14
1369b46130
144048b732
152738257a
hex1947ed70

424144240 has 80 divisors (see below), whose sum is σ = 1065556800. Its totient is φ = 156082176.

The previous prime is 424144229. The next prime is 424144241. The reversal of 424144240 is 42441424.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424144241) 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, 456096 + ... + 457024.

It is an arithmetic number, because the mean of its divisors is an integer number (13319460).

Almost surely, 2424144240 is an apocalyptic number.

424144240 is a gapful number since it is divisible by the number (40) 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 424144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532778400).

424144240 is an abundant number, since it is smaller than the sum of its proper divisors (641412560).

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

424144240 is a wasteful number, since it uses less digits than its factorization.

424144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 424144240 is about 20594.7624409703. The cubic root of 424144240 is about 751.3423309118.

Adding to 424144240 its reverse (42441424), we get a palindrome (466585664).

The spelling of 424144240 in words is "four hundred twenty-four million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 439 520 878 929 1040 1756 1858 2195 3512 3716 4390 4645 5707 7024 7432 8780 9290 11414 12077 14864 17560 18580 22828 24154 28535 35120 37160 45656 48308 57070 60385 74320 91312 96616 114140 120770 193232 228280 241540 407831 456560 483080 815662 966160 1631324 2039155 3262648 4078310 5301803 6525296 8156620 10603606 16313240 21207212 26509015 32626480 42414424 53018030 84828848 106036060 212072120 424144240