Base | Representation |
---|---|
bin | 10011110101011… |
… | …101001011100000 |
3 | 212012011222200200 |
4 | 103311131023200 |
5 | 1140142432011 |
6 | 53004345200 |
7 | 11150404554 |
oct | 2365351340 |
9 | 765158620 |
10 | 332780256 |
11 | 160933806 |
12 | 93545200 |
13 | 53c373c3 |
14 | 322a7864 |
15 | 1e336856 |
hex | 13d5d2e0 |
332780256 has 72 divisors (see below), whose sum is σ = 957050640. Its totient is φ = 109671936.
The previous prime is 332780251. The next prime is 332780291. The reversal of 332780256 is 652087233.
332780256 is a `hidden beast` number, since 3 + 327 + 80 + 256 = 666.
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×3327802562 = 221485397566851072, which contains 22 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 332780256.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (332780251) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19141 + ... + 32123.
It is an arithmetic number, because the mean of its divisors is an integer number (13292370).
Almost surely, 2332780256 is an apocalyptic number.
332780256 is a gapful number since it is divisible by the number (36) 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 332780256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478525320).
332780256 is an abundant number, since it is smaller than the sum of its proper divisors (624270384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
332780256 is a wasteful number, since it uses less digits than its factorization.
332780256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13088 (or 13077 counting only the distinct ones).
The product of its (nonzero) digits is 60480, while the sum is 36.
The square root of 332780256 is about 18242.2656487619. The cubic root of 332780256 is about 692.9775796548.
The spelling of 332780256 in words is "three hundred thirty-two million, seven hundred eighty thousand, two hundred fifty-six".
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