Base | Representation |
---|---|
bin | 11111111000101011… |
… | …001011110001000000 |
3 | 10021101000122201122001 |
4 | 133320223023301000 |
5 | 1030104112403044 |
6 | 23421142153344 |
7 | 2321264230021 |
oct | 377053136100 |
9 | 107330581561 |
10 | 34236841024 |
11 | 13579893441 |
12 | 6775a22854 |
13 | 32c809c819 |
14 | 192b010c48 |
15 | d55a842d4 |
hex | 7f8acbc40 |
34236841024 has 63 divisors (see below), whose sum is σ = 68919002751. Its totient is φ = 16874918400.
The previous prime is 34236840997. The next prime is 34236841027. The reversal of 34236841024 is 42014863243.
The square root of 34236841024 is 185032.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 27367746624 + 6869094400 = 165432^2 + 82880^2 .
It is a super-2 number, since 2×342368410242 (a number of 22 digits) contains 22 as substring.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (34236841027) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 149505742 + ... + 149505970.
Almost surely, 234236841024 is an apocalyptic number.
34236841024 is the 185032-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 34236841024
34236841024 is an abundant number, since it is smaller than the sum of its proper divisors (34682161727).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34236841024 is an frugal number, since it uses more digits than its factorization.
34236841024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 672 (or 332 counting only the distinct ones).
The product of its (nonzero) digits is 110592, while the sum is 37.
The spelling of 34236841024 in words is "thirty-four billion, two hundred thirty-six million, eight hundred forty-one thousand, twenty-four".
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