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4342122432 = 263227127817
BaseRepresentation
bin1000000101100111…
…11000011111000000
3102012121110200012100
410002303320133000
532343040404212
61554510430400
7212413301034
oct40263703700
912177420170
104342122432
11192901893a
12a12202400
1354277a11b
142d29701c4
151a6304bdc
hex102cf87c0

4342122432 has 84 divisors (see below), whose sum is σ = 12492284896. Its totient is φ = 1441981440.

The previous prime is 4342122427. The next prime is 4342122437. The reversal of 4342122432 is 2342212434.

4342122432 is a `hidden beast` number, since 434 + 2 + 1 + 224 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4342122427) and next prime (4342122437).

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 = 4342122396 and 4342122405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4342122437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142188 + ... + 170004.

Almost surely, 24342122432 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 4342122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6246142448).

4342122432 is an abundant number, since it is smaller than the sum of its proper divisors (8150162464).

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

4342122432 is a wasteful number, since it uses less digits than its factorization.

4342122432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28106 (or 28093 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 4342122432 is about 65894.7830408447. The cubic root of 4342122432 is about 1631.4259082243.

Adding to 4342122432 its reverse (2342212434), we get a palindrome (6684334866).

The spelling of 4342122432 in words is "four billion, three hundred forty-two million, one hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 271 288 542 576 813 1084 1626 2168 2439 3252 4336 4878 6504 8672 9756 13008 17344 19512 26016 27817 39024 52032 55634 78048 83451 111268 156096 166902 222536 250353 333804 445072 500706 667608 890144 1001412 1335216 1780288 2002824 2670432 4005648 5340864 7538407 8011296 15076814 16022592 22615221 30153628 45230442 60307256 67845663 90460884 120614512 135691326 180921768 241229024 271382652 361843536 482458048 542765304 723687072 1085530608 1447374144 2171061216 4342122432