Base | Representation |
---|---|
bin | 1000000111101… |
… | …1100001110000 |
3 | 2101002110002022 |
4 | 2001323201300 |
5 | 32204413100 |
6 | 3214011012 |
7 | 562336313 |
oct | 201734160 |
9 | 71073068 |
10 | 34060400 |
11 | 182540a0 |
12 | b4a6a68 |
13 | 70971aa |
14 | 474897a |
15 | 2ecbe85 |
hex | 207b870 |
34060400 has 60 divisors (see below), whose sum is σ = 89280744. Its totient is φ = 12384000.
The previous prime is 34060391. The next prime is 34060417. The reversal of 34060400 is 406043.
It is a super-2 number, since 2×340604002 = 2320221696320000, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 530 + ... + 8270.
Almost surely, 234060400 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 34060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640372).
34060400 is an abundant number, since it is smaller than the sum of its proper divisors (55220344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34060400 is a wasteful number, since it uses less digits than its factorization.
34060400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7770 (or 7759 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 17.
The square root of 34060400 is about 5836.1288539579. The cubic root of 34060400 is about 324.1529024789.
Adding to 34060400 its reverse (406043), we get a palindrome (34466443).
The spelling of 34060400 in words is "thirty-four million, sixty thousand, four hundred".
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