Base | Representation |
---|---|
bin | 10000011000111… |
… | …100011010000000 |
3 | 201011102010212200 |
4 | 100120330122000 |
5 | 1030343134321 |
6 | 43141353200 |
7 | 6546146310 |
oct | 2030743200 |
9 | 634363780 |
10 | 274974336 |
11 | 13124131a |
12 | 78108800 |
13 | 44c78010 |
14 | 2873b440 |
15 | 19218d26 |
hex | 1063c680 |
274974336 has 384 divisors, whose sum is σ = 1012851840. Its totient is φ = 69672960.
The previous prime is 274974319. The next prime is 274974341. The reversal of 274974336 is 633479472.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×2749743362 = 151221770917281792, which contains 22 as substring.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a nude number because it is divisible by every one of its digits.
Its product of digits (762048) is a multiple of the sum of its prime factors (144).
It is a junction number, because it is equal to n+sod(n) for n = 274974291 and 274974300.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4507746 + ... + 4507806.
It is an arithmetic number, because the mean of its divisors is an integer number (2637635).
Almost surely, 2274974336 is an apocalyptic number.
274974336 is a gapful number since it is divisible by the number (26) 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 274974336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506425920).
274974336 is an abundant number, since it is smaller than the sum of its proper divisors (737877504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
274974336 is a wasteful number, since it uses less digits than its factorization.
274974336 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 144 (or 129 counting only the distinct ones).
The product of its digits is 762048, while the sum is 45.
The square root of 274974336 is about 16582.3501350080. The cubic root of 274974336 is about 650.2754934758.
The spelling of 274974336 in words is "two hundred seventy-four million, nine hundred seventy-four thousand, three hundred thirty-six".
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