Base | Representation |
---|---|
bin | 10100011001111… |
… | …110011000100000 |
3 | 212212012100122001 |
4 | 110121332120200 |
5 | 1200120302230 |
6 | 53545453344 |
7 | 11324645662 |
oct | 2431763040 |
9 | 785170561 |
10 | 342353440 |
11 | 166282230 |
12 | 967a1254 |
13 | 55c09900 |
14 | 3367a532 |
15 | 200c80ca |
hex | 1467e620 |
342353440 has 144 divisors (see below), whose sum is σ = 956261376. Its totient is φ = 114816000.
The previous prime is 342353437. The next prime is 342353443. The reversal of 342353440 is 44353243.
It is an interprime number because it is at equal distance from previous prime (342353437) and next prime (342353443).
It is a junction number, because it is equal to n+sod(n) for n = 342353399 and 342353408.
It is not an unprimeable number, because it can be changed into a prime (342353443) by changing a digit.
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, 296865 + ... + 298015.
It is an arithmetic number, because the mean of its divisors is an integer number (6640704).
Almost surely, 2342353440 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 342353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478130688).
342353440 is an abundant number, since it is smaller than the sum of its proper divisors (613907936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
342353440 is a wasteful number, since it uses less digits than its factorization.
342353440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1203 (or 1182 counting only the distinct ones).
The product of its (nonzero) digits is 17280, while the sum is 28.
The square root of 342353440 is about 18502.7954644697. The cubic root of 342353440 is about 699.5598866093.
It can be divided in two parts, 34235 and 3440, that added together give a triangular number (37675 = T274).
The spelling of 342353440 in words is "three hundred forty-two million, three hundred fifty-three thousand, four hundred forty".
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