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4232442324 = 2231135279091
BaseRepresentation
bin1111110001000101…
…1111000111010100
3101220222002100101010
43330101133013110
532132001123244
61535551532220
7206612110665
oct37421370724
911828070333
104232442324
111882115620
129a152a070
13525b27556
142c217d36c
1519b88beb9
hexfc45f1d4

4232442324 has 48 divisors (see below), whose sum is σ = 10777729536. Its totient is φ = 1282053600.

The previous prime is 4232442311. The next prime is 4232442343.

4232442324 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4232442291 and 4232442300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461019 + ... + 470109.

It is an arithmetic number, because the mean of its divisors is an integer number (224536032).

Almost surely, 24232442324 is an apocalyptic number.

4232442324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4232442324 is an abundant number, since it is smaller than the sum of its proper divisors (6545287212).

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

4232442324 is a wasteful number, since it uses less digits than its factorization.

4232442324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12636 (or 12634 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

The square root of 4232442324 is about 65057.2234575070. The cubic root of 4232442324 is about 1617.5722315169.

It can be divided in two parts, 42324 and 42324, that added together give a palindrome (84648).

The spelling of 4232442324 in words is "four billion, two hundred thirty-two million, four hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 3527 7054 9091 10581 14108 18182 21162 27273 36364 38797 42324 54546 77594 100001 109092 116391 155188 200002 232782 300003 400004 465564 600006 1200012 32063957 64127914 96191871 128255828 192383742 352703527 384767484 705407054 1058110581 1410814108 2116221162 4232442324