| Base | Representation |
|---|---|
| bin | 10001011110000… |
| … | …00011100110100 |
| 3 | 101012202000120000 |
| 4 | 20233000130310 |
| 5 | 300003242330 |
| 6 | 22312511300 |
| 7 | 3426400212 |
| oct | 1057003464 |
| 9 | 335660500 |
| 10 | 146540340 |
| 11 | 75799a21 |
| 12 | 410ab530 |
| 13 | 2448a27b |
| 14 | 15667cb2 |
| 15 | cce9560 |
| hex | 8bc0734 |
146540340 has 180 divisors, whose sum is σ = 489894636. Its totient is φ = 36661248.
The previous prime is 146540327. The next prime is 146540341. The reversal of 146540340 is 43045641.
146540340 is a `hidden beast` number, since 1 + 4 + 654 + 0 + 3 + 4 + 0 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 2396304 + 144144036 = 1548^2 + 12006^2 .
It is a tau number, because it is divible by the number of its divisors (180).
It is a super-3 number, since 3×1465403403 (a number of 25 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (146540341) by changing a digit.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 468024 + ... + 468336.
Almost surely, 2146540340 is an apocalyptic number.
146540340 is a gapful number since it is divisible by the number (10) 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 146540340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244947318).
146540340 is an abundant number, since it is smaller than the sum of its proper divisors (343354296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146540340 is a wasteful number, since it uses less digits than its factorization.
146540340 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 368 (or 340 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
The square root of 146540340 is about 12105.3847522497. The cubic root of 146540340 is about 527.2125400078.
Adding to 146540340 its reverse (43045641), we get a palindrome (189585981).
The spelling of 146540340 in words is "one hundred forty-six million, five hundred forty thousand, three hundred forty".
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