| Base | Representation |
|---|---|
| bin | 1000010101110… |
| … | …1011111100000 |
| 3 | 2102211110201000 |
| 4 | 2011131133200 |
| 5 | 32424022302 |
| 6 | 3245512000 |
| 7 | 603242601 |
| oct | 205353740 |
| 9 | 72743630 |
| 10 | 34985952 |
| 11 | 18826511 |
| 12 | b872600 |
| 13 | 732c561 |
| 14 | 4909da8 |
| 15 | 311131c |
| hex | 215d7e0 |
34985952 has 48 divisors (see below), whose sum is σ = 102044880. Its totient is φ = 11661696.
The previous prime is 34985947. The next prime is 34985957. The reversal of 34985952 is 25958943.
34985952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (34985947) and next prime (34985957).
It is a tau number, because it is divible by the number of its divisors (48).
It is a junction number, because it is equal to n+sod(n) for n = 34985898 and 34985907.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34985957) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19383 + ... + 21110.
It is an arithmetic number, because the mean of its divisors is an integer number (2125935).
Almost surely, 234985952 is an apocalyptic number.
34985952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.
It is an amenable number.
34985952 is an abundant number, since it is smaller than the sum of its proper divisors (67058928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34985952 is a wasteful number, since it uses less digits than its factorization.
34985952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 40512 (or 40498 counting only the distinct ones).
The product of its digits is 388800, while the sum is 45.
The square root of 34985952 is about 5914.8923912443. The cubic root of 34985952 is about 327.0628614105.
It can be divided in two parts, 34985 and 952, that added together give a cube (35937 = 333).
The spelling of 34985952 in words is "thirty-four million, nine hundred eighty-five thousand, nine hundred fifty-two".
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