Base | Representation |
---|---|
bin | 1000010001110… |
… | …1011101100000 |
3 | 2102100010221020 |
4 | 2010131131200 |
5 | 32342124210 |
6 | 3240125440 |
7 | 601101135 |
oct | 204353540 |
9 | 72303836 |
10 | 34723680 |
11 | 18667462 |
12 | b766880 |
13 | 726a074 |
14 | 487c58c |
15 | 30ad770 |
hex | 211d760 |
34723680 has 48 divisors (see below), whose sum is σ = 109381104. Its totient is φ = 9259520.
The previous prime is 34723651. The next prime is 34723681. The reversal of 34723680 is 8632743.
It is a tau number, because it is divible by the number of its divisors (48).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34723681) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 35691 + ... + 36650.
It is an arithmetic number, because the mean of its divisors is an integer number (2278773).
Almost surely, 234723680 is an apocalyptic number.
34723680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
34723680 is an abundant number, since it is smaller than the sum of its proper divisors (74657424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34723680 is a wasteful number, since it uses less digits than its factorization.
34723680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 72359 (or 72351 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 33.
The square root of 34723680 is about 5892.6802051359. The cubic root of 34723680 is about 326.2435356392.
The spelling of 34723680 in words is "thirty-four million, seven hundred twenty-three thousand, six hundred eighty".
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