Base | Representation |
---|---|
bin | 100000000011110011… |
… | …000000001010000000 |
3 | 10021212000202221022020 |
4 | 200003303000022000 |
5 | 1030444400040000 |
6 | 23451445441440 |
7 | 2326021261245 |
oct | 400363001200 |
9 | 107760687266 |
10 | 34423440000 |
11 | 13665152a74 |
12 | 6808410280 |
13 | 3327944211 |
14 | 1947b055cc |
15 | d67142ba0 |
hex | 803cc0280 |
34423440000 has 320 divisors, whose sum is σ = 120289620000. Its totient is φ = 8695296000.
The previous prime is 34423439909. The next prime is 34423440101. The reversal of 34423440000 is 4432443.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (320).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4556226 + ... + 4563774.
Almost surely, 234423440000 is an apocalyptic number.
34423440000 is a gapful number since it is divisible by the number (30) 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 34423440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60144810000).
34423440000 is an abundant number, since it is smaller than the sum of its proper divisors (85866180000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34423440000 is an equidigital number, since it uses as much as digits as its factorization.
34423440000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7605 (or 7578 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 24.
Adding to 34423440000 its reverse (4432443), we get a palindrome (34427872443).
The spelling of 34423440000 in words is "thirty-four billion, four hundred twenty-three million, four hundred forty thousand".
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