| Base | Representation |
|---|---|
| bin | 10101000111000… |
| … | …001111000100000 |
| 3 | 220200102102000200 |
| 4 | 111013001320200 |
| 5 | 1211131224011 |
| 6 | 55050545200 |
| 7 | 11530226565 |
| oct | 2507017040 |
| 9 | 820372020 |
| 10 | 354164256 |
| 11 | 171a09936 |
| 12 | 9a738200 |
| 13 | 584b3764 |
| 14 | 3507286c |
| 15 | 2115c856 |
| hex | 151c1e20 |
354164256 has 144 divisors (see below), whose sum is σ = 1079114400. Its totient is φ = 109845504.
The previous prime is 354164227. The next prime is 354164257. The reversal of 354164256 is 652461453.
354164256 is a `hidden beast` number, since 3 + 5 + 4 + 1 + 642 + 5 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 354164256.
It is not an unprimeable number, because it can be changed into a prime (354164257) 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 23 ways as a sum of consecutive naturals, for example, 322300 + ... + 323396.
It is an arithmetic number, because the mean of its divisors is an integer number (7493850).
Almost surely, 2354164256 is an apocalyptic number.
354164256 is a gapful number since it is divisible by the number (36) 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 354164256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539557200).
354164256 is an abundant number, since it is smaller than the sum of its proper divisors (724950144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
354164256 is a wasteful number, since it uses less digits than its factorization.
354164256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1191 (or 1180 counting only the distinct ones).
The product of its digits is 86400, while the sum is 36.
The square root of 354164256 is about 18819.2522699495. The cubic root of 354164256 is about 707.5137904723.
The spelling of 354164256 in words is "three hundred fifty-four million, one hundred sixty-four thousand, two hundred fifty-six".
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