| Base | Representation |
|---|---|
| bin | 10101000111010… |
| … | …101001110000000 |
| 3 | 220200120102200000 |
| 4 | 111013111032000 |
| 5 | 1211141242311 |
| 6 | 55052400000 |
| 7 | 11531006520 |
| oct | 2507251600 |
| 9 | 820512600 |
| 10 | 354243456 |
| 11 | 171a63396 |
| 12 | 9a776000 |
| 13 | 58510818 |
| 14 | 35093680 |
| 15 | 21176056 |
| hex | 151d5380 |
354243456 has 192 divisors, whose sum is σ = 1208887680. Its totient is φ = 101150208.
The previous prime is 354243451. The next prime is 354243457. The reversal of 354243456 is 654342453.
It is a tau number, because it is divible by the number of its divisors (192).
It is a super-3 number, since 3×3542434563 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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 354243456.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (354243451) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216915 + ... + 218541.
It is an arithmetic number, because the mean of its divisors is an integer number (6296290).
Almost surely, 2354243456 is an apocalyptic number.
354243456 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 354243456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604443840).
354243456 is an abundant number, since it is smaller than the sum of its proper divisors (854644224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
354243456 is an equidigital number, since it uses as much as digits as its factorization.
354243456 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1663 (or 1639 counting only the distinct ones).
The product of its digits is 172800, while the sum is 36.
The square root of 354243456 is about 18821.3563804525. The cubic root of 354243456 is about 707.5665258108.
The spelling of 354243456 in words is "three hundred fifty-four million, two hundred forty-three thousand, four hundred fifty-six".
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