Base | Representation |
---|---|
bin | 1000001011101… |
… | …0100100011100 |
3 | 2101120120022000 |
4 | 2002322210130 |
5 | 32241143440 |
6 | 3223322300 |
7 | 564463200 |
oct | 202724434 |
9 | 71516260 |
10 | 34318620 |
11 | 184100a6 |
12 | b5b0390 |
13 | 715789b |
14 | 47b4b00 |
15 | 302d730 |
hex | 20ba91c |
34318620 has 144 divisors (see below), whose sum is σ = 124296480. Its totient is φ = 7838208.
The previous prime is 34318619. The next prime is 34318639. The reversal of 34318620 is 2681343.
It is a happy number.
34318620 is a `hidden beast` number, since 3 + 4 + 31 + 8 + 620 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
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 47 ways as a sum of consecutive naturals, for example, 25812 + ... + 27108.
It is an arithmetic number, because the mean of its divisors is an integer number (863170).
Almost surely, 234318620 is an apocalyptic number.
34318620 is a gapful number since it is divisible by the number (30) 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 34318620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62148240).
34318620 is an abundant number, since it is smaller than the sum of its proper divisors (89977860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34318620 is a wasteful number, since it uses less digits than its factorization.
34318620 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1329 (or 1314 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 34318620 is about 5858.2096241087. The cubic root of 34318620 is about 324.9700011758.
Adding to 34318620 its reverse (2681343), we get a palindrome (36999963).
It can be divided in two parts, 343186 and 20, that added together give a triangular number (343206 = T828).
The spelling of 34318620 in words is "thirty-four million, three hundred eighteen thousand, six hundred twenty".
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