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342303424 = 2641731787
BaseRepresentation
bin10100011001110…
…010001011000000
3212212002211000121
4110121302023000
51200112202144
653544430024
711324350111
oct2431621300
9785084017
10342303424
111662486a1
1296778314
1355bbcc08
1433666208
15200b8384
hex146722c0

342303424 has 56 divisors (see below), whose sum is σ = 705752208. Its totient is φ = 164597760.

The previous prime is 342303413. The next prime is 342303433. The reversal of 342303424 is 424303243.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 190659 + ... + 192445.

It is an arithmetic number, because the mean of its divisors is an integer number (12602718).

Almost surely, 2342303424 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 342303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352876104).

342303424 is an abundant number, since it is smaller than the sum of its proper divisors (363448784).

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

342303424 is a wasteful number, since it uses less digits than its factorization.

342303424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 342303424 is about 18501.4438355497. The cubic root of 342303424 is about 699.5258176353.

Adding to 342303424 its reverse (424303243), we get a palindrome (766606667).

The spelling of 342303424 in words is "three hundred forty-two million, three hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 64 73 82 146 164 292 328 584 656 1168 1312 1787 2336 2624 2993 3574 4672 5986 7148 11972 14296 23944 28592 47888 57184 73267 95776 114368 130451 146534 191552 260902 293068 521804 586136 1043608 1172272 2087216 2344544 4174432 4689088 5348491 8348864 10696982 21393964 42787928 85575856 171151712 342303424