| Base | Representation |
|---|---|
| bin | 1000001011101… |
| … | …0101110000000 |
| 3 | 2101120121010200 |
| 4 | 2002322232000 |
| 5 | 32241203412 |
| 6 | 3223325200 |
| 7 | 564465033 |
| oct | 202725600 |
| 9 | 71517120 |
| 10 | 34319232 |
| 11 | 18410602 |
| 12 | b5b0800 |
| 13 | 7157c4c |
| 14 | 47b501a |
| 15 | 302d9dc |
| hex | 20bab80 |
34319232 has 96 divisors (see below), whose sum is σ = 102048960. Its totient is φ = 11070720.
The previous prime is 34319227. The next prime is 34319261. The reversal of 34319232 is 23291343.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a tau number, because it is divible by the number of its divisors (96).
It is a nude number because it is divisible by every one of its digits.
Its product of digits (3888) is a multiple of the sum of its prime divisors (36).
It is a junction number, because it is equal to n+sod(n) for n = 34319196 and 34319205.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1107057 + ... + 1107087.
It is an arithmetic number, because the mean of its divisors is an integer number (1063010).
Almost surely, 234319232 is an apocalyptic number.
34319232 is a gapful number since it is divisible by the number (32) 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 34319232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51024480).
34319232 is an abundant number, since it is smaller than the sum of its proper divisors (67729728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34319232 is an frugal number, since it uses more digits than its factorization.
34319232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 113 (or 36 counting only the distinct ones).
The product of its digits is 3888, while the sum is 27.
The square root of 34319232 is about 5858.2618582648. The cubic root of 34319232 is about 324.9719328819.
The spelling of 34319232 in words is "thirty-four million, three hundred nineteen thousand, two hundred thirty-two".
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