| Base | Representation |
|---|---|
| bin | 10101000111110… |
| … | …110001000000000 |
| 3 | 220200211021120000 |
| 4 | 111013312020000 |
| 5 | 1211210100430 |
| 6 | 55055320000 |
| 7 | 11532110466 |
| oct | 2507661000 |
| 9 | 820737500 |
| 10 | 354378240 |
| 11 | 172045687 |
| 12 | 9a820000 |
| 13 | 58559c88 |
| 14 | 350ca836 |
| 15 | 211a0e60 |
| hex | 151f6200 |
354378240 has 200 divisors, whose sum is σ = 1270013580. Its totient is φ = 94445568.
The previous prime is 354378203. The next prime is 354378247. The reversal of 354378240 is 42873453.
It is a happy number.
354378240 is a `hidden beast` number, since 3 + 543 + 78 + 2 + 40 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 334450944 + 19927296 = 18288^2 + 4464^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 354378195 and 354378204.
It is not an unprimeable number, because it can be changed into a prime (354378247) 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 19 ways as a sum of consecutive naturals, for example, 206506 + ... + 208214.
Almost surely, 2354378240 is an apocalyptic number.
354378240 is a gapful number since it is divisible by the number (30) 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 354378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635006790).
354378240 is an abundant number, since it is smaller than the sum of its proper divisors (915635340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
354378240 is an equidigital number, since it uses as much as digits as its factorization.
354378240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1744 (or 1719 counting only the distinct ones).
The product of its (nonzero) digits is 80640, while the sum is 36.
The square root of 354378240 is about 18824.9366532799. The cubic root of 354378240 is about 707.6562537010.
The spelling of 354378240 in words is "three hundred fifty-four million, three hundred seventy-eight thousand, two hundred forty".
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