Base | Representation |
---|---|
bin | 1000001100001… |
… | …1100000100000 |
3 | 2101122102112000 |
4 | 2003003200200 |
5 | 32243331412 |
6 | 3224204000 |
7 | 565005012 |
oct | 203034040 |
9 | 71572460 |
10 | 34355232 |
11 | 1843565a |
12 | b609600 |
13 | 716b452 |
14 | 47c41b2 |
15 | 30394dc |
hex | 20c3820 |
34355232 has 96 divisors (see below), whose sum is σ = 106142400. Its totient is φ = 10773504.
The previous prime is 34355207. The next prime is 34355257. The reversal of 34355232 is 23255343.
It is an interprime number because it is at equal distance from previous prime (34355207) and next prime (34355257).
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 34355196 and 34355205.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13519 + ... + 15857.
It is an arithmetic number, because the mean of its divisors is an integer number (1105650).
Almost surely, 234355232 is an apocalyptic number.
34355232 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 34355232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53071200).
34355232 is an abundant number, since it is smaller than the sum of its proper divisors (71787168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34355232 is a wasteful number, since it uses less digits than its factorization.
34355232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2375 (or 2361 counting only the distinct ones).
The product of its digits is 10800, while the sum is 27.
The square root of 34355232 is about 5861.3336366394. Note that the first 3 decimals coincide. The cubic root of 34355232 is about 325.0855222664.
The spelling of 34355232 in words is "thirty-four million, three hundred fifty-five thousand, two hundred thirty-two".
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