Base | Representation |
---|---|
bin | 100100110000… |
… | …010010011000 |
3 | 200010111200200 |
4 | 210300102120 |
5 | 4431304333 |
6 | 542302200 |
7 | 144616200 |
oct | 44602230 |
9 | 20114620 |
10 | 9634968 |
11 | 5490992 |
12 | 3287960 |
13 | 1cc4685 |
14 | 13cb400 |
15 | ca4c13 |
hex | 930498 |
9634968 has 72 divisors (see below), whose sum is σ = 30366180. Its totient is φ = 2751840.
The previous prime is 9634949. The next prime is 9634969. The reversal of 9634968 is 8694369.
9634968 is a `hidden beast` number, since 9 + 634 + 9 + 6 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×96349682 = 185665216722048, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9634969) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2163 + ... + 4893.
Almost surely, 29634968 is an apocalyptic number.
9634968 is a gapful number since it is divisible by the number (98) 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 9634968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15183090).
9634968 is an abundant number, since it is smaller than the sum of its proper divisors (20731212).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9634968 is a wasteful number, since it uses less digits than its factorization.
9634968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2757 (or 2743 counting only the distinct ones).
The product of its digits is 279936, while the sum is 45.
The square root of 9634968 is about 3104.0244844395. The cubic root of 9634968 is about 212.7894500772.
The spelling of 9634968 in words is "nine million, six hundred thirty-four thousand, nine hundred sixty-eight".
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