Search a number
-
+
3232242024 = 2331127379193
BaseRepresentation
bin1100000010101000…
…0001100101101000
322100021000220111120
43000222001211220
523104423221044
61252422055240
7143045414064
oct30052014550
98307026446
103232242024
111409575300
1276257a520
133c684a15b
142293bcaa4
1513db6b519
hexc0a81968

3232242024 has 192 divisors, whose sum is σ = 9164870400. Its totient is φ = 948879360.

The previous prime is 3232242023. The next prime is 3232242037. The reversal of 3232242024 is 4202422323.

It is a happy number.

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 = 3232241985 and 3232242003.

It is not an unprimeable number, because it can be changed into a prime (3232242023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16747272 + ... + 16747464.

It is an arithmetic number, because the mean of its divisors is an integer number (47733700).

Almost surely, 23232242024 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 3232242024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4582435200).

3232242024 is an abundant number, since it is smaller than the sum of its proper divisors (5932628376).

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

3232242024 is a wasteful number, since it uses less digits than its factorization.

3232242024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 361 counting only the distinct ones).

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

The square root of 3232242024 is about 56852.8101680119. The cubic root of 3232242024 is about 1478.5452627956.

Adding to 3232242024 its reverse (4202422323), we get a palindrome (7434664347).

The spelling of 3232242024 in words is "three billion, two hundred thirty-two million, two hundred forty-two thousand, twenty-four".