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81234432 = 293217261
BaseRepresentation
bin1001101011110…
…00101000000000
312122212010200200
410311320220000
5131244000212
612021045200
72004324036
oct465705000
9178763620
1081234432
11419446a4
1223256800
1313aa3216
14ab08556
1571e96dc
hex4d78a00

81234432 has 180 divisors, whose sum is σ = 253133166. Its totient is φ = 25067520.

The previous prime is 81234431. The next prime is 81234479. The reversal of 81234432 is 23443218.

It can be written as a sum of positive squares in 3 ways, for example, as 68956416 + 12278016 = 8304^2 + 3504^2 .

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 81234396 and 81234405.

It is not an unprimeable number, because it can be changed into a prime (81234431) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1331682 + ... + 1331742.

Almost surely, 281234432 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 81234432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126566583).

81234432 is an abundant number, since it is smaller than the sum of its proper divisors (171898734).

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

81234432 is a wasteful number, since it uses less digits than its factorization.

81234432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 83 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 81234432 is about 9013.0145900248. The cubic root of 81234432 is about 433.0918881129.

The spelling of 81234432 in words is "eighty-one million, two hundred thirty-four thousand, four hundred thirty-two".