Base | Representation |
---|---|
bin | 1000001010010… |
… | …1001011100000 |
3 | 2101102010010010 |
4 | 2002211023200 |
5 | 32230343013 |
6 | 3221404520 |
7 | 563646600 |
oct | 202451340 |
9 | 71363103 |
10 | 34231008 |
11 | 18360299 |
12 | b569740 |
13 | 7126a46 |
14 | 4790c00 |
15 | 30127c3 |
hex | 20a52e0 |
34231008 has 144 divisors (see below), whose sum is σ = 110315520. Its totient is φ = 9241344.
The previous prime is 34231007. The next prime is 34231019. The reversal of 34231008 is 80013243.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34231007) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89185 + ... + 89567.
It is an arithmetic number, because the mean of its divisors is an integer number (766080).
Almost surely, 234231008 is an apocalyptic number.
34231008 is a gapful number since it is divisible by the number (38) 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 34231008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55157760).
34231008 is an abundant number, since it is smaller than the sum of its proper divisors (76084512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34231008 is a wasteful number, since it uses less digits than its factorization.
34231008 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 429 (or 414 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 21.
The square root of 34231008 is about 5850.7271342971. The cubic root of 34231008 is about 324.6932268935.
The spelling of 34231008 in words is "thirty-four million, two hundred thirty-one thousand, eight".
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