Base | Representation |
---|---|
bin | 100000010100110… |
… | …111010100111110 |
3 | 1101210111202012000 |
4 | 200110313110332 |
5 | 2102314343124 |
6 | 125452123130 |
7 | 16303550250 |
oct | 4024672476 |
9 | 1353452160 |
10 | 542340414 |
11 | 259156420 |
12 | 1317664a6 |
13 | 8848acb5 |
14 | 52057cd0 |
15 | 3292d6c9 |
hex | 2053753e |
542340414 has 256 divisors, whose sum is σ = 1612431360. Its totient is φ = 130965120.
The previous prime is 542340377. The next prime is 542340431. The reversal of 542340414 is 414043245.
It is a happy number.
542340414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5068549 + ... + 5068655.
It is an arithmetic number, because the mean of its divisors is an integer number (6298560).
Almost surely, 2542340414 is an apocalyptic number.
542340414 is a gapful number since it is divisible by the number (54) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 542340414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806215680).
542340414 is an abundant number, since it is smaller than the sum of its proper divisors (1070090946).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
542340414 is a wasteful number, since it uses less digits than its factorization.
542340414 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 212 (or 206 counting only the distinct ones).
The product of its (nonzero) digits is 7680, while the sum is 27.
The square root of 542340414 is about 23288.2033227126. The cubic root of 542340414 is about 815.5000451727.
Adding to 542340414 its reverse (414043245), we get a palindrome (956383659).
The spelling of 542340414 in words is "five hundred forty-two million, three hundred forty thousand, four hundred fourteen".
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