Base | Representation |
---|---|
bin | 1101000101101101110000 |
3 | 20110022211110 |
4 | 31011231300 |
5 | 1334300110 |
6 | 201313320 |
7 | 41110506 |
oct | 15055560 |
9 | 6408743 |
10 | 3431280 |
11 | 1a33a76 |
12 | 1195840 |
13 | 931a58 |
14 | 654676 |
15 | 47ba20 |
hex | 345b70 |
3431280 has 120 divisors (see below), whose sum is σ = 11664432. Its totient is φ = 831488.
The previous prime is 3431261. The next prime is 3431287. The reversal of 3431280 is 821343.
It is a happy number.
3431280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (120).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3431287) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118306 + ... + 118334.
Almost surely, 23431280 is an apocalyptic number.
3431280 is a gapful number since it is divisible by the number (30) 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 3431280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832216).
3431280 is an abundant number, since it is smaller than the sum of its proper divisors (8233152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3431280 is a wasteful number, since it uses less digits than its factorization.
3431280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 91 (or 56 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 21.
The square root of 3431280 is about 1852.3714530299. The cubic root of 3431280 is about 150.8291856726.
The spelling of 3431280 in words is "three million, four hundred thirty-one thousand, two hundred eighty".
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