Base | Representation |
---|---|
bin | 1000001100010… |
… | …1001011000000 |
3 | 2101122202212110 |
4 | 2003011023000 |
5 | 32244041143 |
6 | 3224255320 |
7 | 565033620 |
oct | 203051300 |
9 | 71582773 |
10 | 34362048 |
11 | 1843a796 |
12 | b611540 |
13 | 7171596 |
14 | 47c6880 |
15 | 303b533 |
hex | 20c52c0 |
34362048 has 112 divisors (see below), whose sum is σ = 106866944. Its totient is φ = 9538560.
The previous prime is 34362047. The next prime is 34362101. The reversal of 34362048 is 84026343.
It is a tau number, because it is divible by the number of its divisors (112).
It is not an unprimeable number, because it can be changed into a prime (34362047) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49383 + ... + 50073.
Almost surely, 234362048 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 34362048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53433472).
34362048 is an abundant number, since it is smaller than the sum of its proper divisors (72504896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34362048 is a wasteful number, since it uses less digits than its factorization.
34362048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 750 (or 740 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 30.
The square root of 34362048 is about 5861.9150454438. The cubic root of 34362048 is about 325.1070195879.
The spelling of 34362048 in words is "thirty-four million, three hundred sixty-two thousand, forty-eight".
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