Base | Representation |
---|---|
bin | 10100011110000… |
… | …110000110101000 |
3 | 212221020020101110 |
4 | 110132012012220 |
5 | 1200404334030 |
6 | 54024550320 |
7 | 11340065154 |
oct | 2436060650 |
9 | 787206343 |
10 | 343433640 |
11 | 16694a860 |
12 | 970223a0 |
13 | 561c7494 |
14 | 3387c064 |
15 | 2023d1b0 |
hex | 147861a8 |
343433640 has 128 divisors (see below), whose sum is σ = 1145404800. Its totient is φ = 81669120.
The previous prime is 343433639. The next prime is 343433687. The reversal of 343433640 is 46334343.
343433640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 343433598 and 343433607.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67506 + ... + 72414.
It is an arithmetic number, because the mean of its divisors is an integer number (8948475).
Almost surely, 2343433640 is an apocalyptic number.
343433640 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 343433640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572702400).
343433640 is an abundant number, since it is smaller than the sum of its proper divisors (801971160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
343433640 is a wasteful number, since it uses less digits than its factorization.
343433640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4987 (or 4983 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 30.
The square root of 343433640 is about 18531.9626591465. The cubic root of 343433640 is about 700.2948689688.
Adding to 343433640 its reverse (46334343), we get a palindrome (389767983).
The spelling of 343433640 in words is "three hundred forty-three million, four hundred thirty-three thousand, six hundred forty".
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