| Base | Representation |
|---|---|
| bin | 10001011011111… |
| … | …11100000100000 |
| 3 | 101012020111200000 |
| 4 | 20231333200200 |
| 5 | 244421234321 |
| 6 | 22303100000 |
| 7 | 3424211535 |
| oct | 1055774040 |
| 9 | 335214600 |
| 10 | 146274336 |
| 11 | 7562808a |
| 12 | 40ba1600 |
| 13 | 243c6180 |
| 14 | 155d8d8c |
| 15 | cc95826 |
| hex | 8b7f820 |
146274336 has 144 divisors (see below), whose sum is σ = 464877504. Its totient is φ = 44976384.
The previous prime is 146274313. The next prime is 146274367. The reversal of 146274336 is 633472641.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-3 number, since 3×1462743363 (a number of 25 digits) contains 333 as substring.
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 146274336.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100365 + ... + 101811.
It is an arithmetic number, because the mean of its divisors is an integer number (3228316).
Almost surely, 2146274336 is an apocalyptic number.
146274336 is a gapful number since it is divisible by the number (16) 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 146274336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232438752).
146274336 is an abundant number, since it is smaller than the sum of its proper divisors (318603168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146274336 is a wasteful number, since it uses less digits than its factorization.
146274336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1485 (or 1465 counting only the distinct ones).
The product of its digits is 72576, while the sum is 36.
The square root of 146274336 is about 12094.3927503616. The cubic root of 146274336 is about 526.8933432906.
The spelling of 146274336 in words is "one hundred forty-six million, two hundred seventy-four thousand, three hundred thirty-six".
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