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4342004352 = 27347292063
BaseRepresentation
bin1000000101100110…
…11011101010000000
3102012121020200020000
410002303123222000
532343023114402
61554504120000
7212412266550
oct40263335200
912177220200
104342004352
111928a48154
12a12166000
1354273845a
142d293d160
151a62cec1c
hex102cdba80

4342004352 has 320 divisors, whose sum is σ = 15284332800. Its totient is φ = 1197213696.

The previous prime is 4342004347. The next prime is 4342004363. The reversal of 4342004352 is 2534002434.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2103673 + ... + 2105735.

It is an arithmetic number, because the mean of its divisors is an integer number (47763540).

Almost surely, 24342004352 is an apocalyptic number.

4342004352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4342004352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7642166400).

4342004352 is an abundant number, since it is smaller than the sum of its proper divisors (10942328448).

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

4342004352 is a wasteful number, since it uses less digits than its factorization.

4342004352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 4342004352 is about 65893.8870609406. The cubic root of 4342004352 is about 1631.4111197178.

Adding to 4342004352 its reverse (2534002434), we get a palindrome (6876006786).

The spelling of 4342004352 in words is "four billion, three hundred forty-two million, four thousand, three hundred fifty-two".