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4332312132 = 2231927768597
BaseRepresentation
bin1000000100011100…
…11101011001000100
3102011221000020222220
410002032131121010
532333032442012
61553520252340
7212234021421
oct40216353104
912157006886
104332312132
111923528255
12a0aa710b0
13540723a05
142d1538d48
151a551808c
hex10239d644

4332312132 has 48 divisors (see below), whose sum is σ = 10679336640. Its totient is φ = 1363139712.

The previous prime is 4332312071. The next prime is 4332312139. The reversal of 4332312132 is 2312132334.

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

It is not an unprimeable number, because it can be changed into a prime (4332312139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28858 + ... + 97454.

It is an arithmetic number, because the mean of its divisors is an integer number (222486180).

Almost surely, 24332312132 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 4332312132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5339668320).

4332312132 is an abundant number, since it is smaller than the sum of its proper divisors (6347024508).

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

4332312132 is a wasteful number, since it uses less digits than its factorization.

4332312132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68900 (or 68898 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 4332312132 is about 65820.3018224620. The cubic root of 4332312132 is about 1630.1963370208.

Adding to 4332312132 its reverse (2312132334), we get a palindrome (6644444466).

It can be divided in two parts, 43323 and 12132, that added together give a palindrome (55455).

The spelling of 4332312132 in words is "four billion, three hundred thirty-two million, three hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 277 554 831 1108 1662 3324 5263 10526 15789 21052 31578 63156 68597 137194 205791 274388 411582 823164 1303343 2606686 3910029 5213372 7820058 15640116 19001369 38002738 57004107 76005476 114008214 228016428 361026011 722052022 1083078033 1444104044 2166156066 4332312132