Base | Representation |
---|---|
bin | 1000001100110… |
… | …1001100000000 |
3 | 2101201102220110 |
4 | 2003031030000 |
5 | 32301114010 |
6 | 3225111320 |
7 | 565231422 |
oct | 203151400 |
9 | 71642813 |
10 | 34394880 |
11 | 18462423 |
12 | b628540 |
13 | 7183500 |
14 | 47d4812 |
15 | 3046120 |
hex | 20cd300 |
34394880 has 216 divisors, whose sum is σ = 121192848. Its totient is φ = 8306688.
The previous prime is 34394869. The next prime is 34394891. The reversal of 34394880 is 8849343.
It is an interprime number because it is at equal distance from previous prime (34394869) and next prime (34394891).
It is a Harshad number since it is a multiple of its sum of digits (39).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 648934 + ... + 648986.
It is an arithmetic number, because the mean of its divisors is an integer number (561078).
Almost surely, 234394880 is an apocalyptic number.
34394880 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 34394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60596424).
34394880 is an abundant number, since it is smaller than the sum of its proper divisors (86797968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34394880 is a wasteful number, since it uses less digits than its factorization.
34394880 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 103 (or 76 counting only the distinct ones).
The product of its (nonzero) digits is 82944, while the sum is 39.
The square root of 34394880 is about 5864.7148268266. The cubic root of 34394880 is about 325.2105302588.
The spelling of 34394880 in words is "thirty-four million, three hundred ninety-four thousand, eight hundred eighty".
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