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4342608 = 243253569
BaseRepresentation
bin10000100100001101010000
322011121221100
4100210031100
52102430413
6233024400
751624444
oct20441520
98147840
104342608
1124a6736
121555100
13b907ba
14810824
155aba73
hex424350

4342608 has 60 divisors (see below), whose sum is σ = 12404340. Its totient is φ = 1417728.

The previous prime is 4342589. The next prime is 4342619. The reversal of 4342608 is 8062434.

4342608 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1871424 + 2471184 = 1368^2 + 1572^2 .

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7348 + ... + 7916.

It is an arithmetic number, because the mean of its divisors is an integer number (206739).

Almost surely, 24342608 is an apocalyptic number.

4342608 is a gapful number since it is divisible by the number (48) 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 4342608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6202170).

4342608 is an abundant number, since it is smaller than the sum of its proper divisors (8061732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4342608 is a wasteful number, since it uses less digits than its factorization.

4342608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4342608 is about 2083.8925116234. The cubic root of 4342608 is about 163.1486718631.

It can be divided in two parts, 4342 and 608, that added together give a triangular number (4950 = T99).

The spelling of 4342608 in words is "four million, three hundred forty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 569 636 848 954 1138 1272 1707 1908 2276 2544 3414 3816 4552 5121 6828 7632 9104 10242 13656 20484 27312 30157 40968 60314 81936 90471 120628 180942 241256 271413 361884 482512 542826 723768 1085652 1447536 2171304 4342608