Base | Representation |
---|---|
bin | 11100000001111… |
… | …01111010100000 |
3 | 121101110002001210 |
4 | 32000331322200 |
5 | 440143301444 |
6 | 35155430120 |
7 | 5553416454 |
oct | 1600757240 |
9 | 541402053 |
10 | 235134624 |
11 | 11080013a |
12 | 668b5340 |
13 | 3993941a |
14 | 2332a664 |
15 | 159997b9 |
hex | e03dea0 |
235134624 has 96 divisors (see below), whose sum is σ = 633346560. Its totient is φ = 76361472.
The previous prime is 235134611. The next prime is 235134629. The reversal of 235134624 is 426431532.
It is a tau number, because it is divible by the number of its divisors (96).
It is a junction number, because it is equal to n+sod(n) for n = 235134591 and 235134600.
It is not an unprimeable number, because it can be changed into a prime (235134629) 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 15 ways as a sum of consecutive naturals, for example, 893917 + ... + 894179.
It is an arithmetic number, because the mean of its divisors is an integer number (6597360).
Almost surely, 2235134624 is an apocalyptic number.
235134624 is a gapful number since it is divisible by the number (24) 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 235134624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316673280).
235134624 is an abundant number, since it is smaller than the sum of its proper divisors (398211936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
235134624 is a wasteful number, since it uses less digits than its factorization.
235134624 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 482 (or 474 counting only the distinct ones).
The product of its digits is 17280, while the sum is 30.
The square root of 235134624 is about 15334.1000388024. The cubic root of 235134624 is about 617.2183958585.
The spelling of 235134624 in words is "two hundred thirty-five million, one hundred thirty-four thousand, six hundred twenty-four".
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