Base | Representation |
---|---|
bin | 1000000111110… |
… | …1100000000000 |
3 | 2101002212011120 |
4 | 2001331200000 |
5 | 32210142410 |
6 | 3214112240 |
7 | 562402005 |
oct | 201754000 |
9 | 71085146 |
10 | 34068480 |
11 | 1825a176 |
12 | b4ab680 |
13 | 709aa84 |
14 | 474b8ac |
15 | 2ece570 |
hex | 207d800 |
34068480 has 96 divisors (see below), whose sum is σ = 109090800. Its totient is φ = 9076736.
The previous prime is 34068431. The next prime is 34068511. The reversal of 34068480 is 8486043.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×340684802 = 2321322659020800, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30166 + ... + 31274.
Almost surely, 234068480 is an apocalyptic number.
34068480 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 34068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54545400).
34068480 is an abundant number, since it is smaller than the sum of its proper divisors (75022320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34068480 is a wasteful number, since it uses less digits than its factorization.
34068480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1139 (or 1119 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 33.
The square root of 34068480 is about 5836.8210525936. The cubic root of 34068480 is about 324.1785329116.
The spelling of 34068480 in words is "thirty-four million, sixty-eight thousand, four hundred eighty".
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