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2432327712 = 2531911311801
BaseRepresentation
bin1001000011111010…
…0110000000100000
320021111212001100120
42100332212000200
514440133441322
61041205120240
7114163305303
oct22076460040
96244761316
102432327712
111038a928a1
1257a6b9080
132c9bc7289
14191076b3a
15e380ea5c
hex90fa6020

2432327712 has 96 divisors (see below), whose sum is σ = 6780957120. Its totient is φ = 761241600.

The previous prime is 2432327663. The next prime is 2432327713. The reversal of 2432327712 is 2177232342.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2432327713) 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 15 ways as a sum of consecutive naturals, for example, 200212 + ... + 212012.

It is an arithmetic number, because the mean of its divisors is an integer number (70634970).

Almost surely, 22432327712 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 2432327712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3390478560).

2432327712 is an abundant number, since it is smaller than the sum of its proper divisors (4348629408).

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

2432327712 is a wasteful number, since it uses less digits than its factorization.

2432327712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11946 (or 11938 counting only the distinct ones).

The product of its digits is 28224, while the sum is 33.

The square root of 2432327712 is about 49318.6345309762. The cubic root of 2432327712 is about 1344.8505634981.

The spelling of 2432327712 in words is "two billion, four hundred thirty-two million, three hundred twenty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 113 114 152 226 228 304 339 452 456 608 678 904 912 1356 1808 1824 2147 2712 3616 4294 5424 6441 8588 10848 11801 12882 17176 23602 25764 34352 35403 47204 51528 68704 70806 94408 103056 141612 188816 206112 224219 283224 377632 448438 566448 672657 896876 1132896 1333513 1345314 1793752 2667026 2690628 3587504 4000539 5334052 5381256 7175008 8001078 10668104 10762512 16002156 21336208 21525024 25336747 32004312 42672416 50673494 64008624 76010241 101346988 128017248 152020482 202693976 304040964 405387952 608081928 810775904 1216163856 2432327712