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342320132 = 227112232191
BaseRepresentation
bin10100011001110…
…110010000000100
3212212010122221102
4110121312100010
51200113221012
653545035232
711324446610
oct2431662004
9785118842
10342320132
1116625a200
1296785b18
1355bc76bb
143366c340
15200bd2c2
hex14676404

342320132 has 108 divisors (see below), whose sum is σ = 790798848. Its totient is φ = 126904800.

The previous prime is 342320113. The next prime is 342320149. The reversal of 342320132 is 231023243.

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 35 ways as a sum of consecutive naturals, for example, 1792157 + ... + 1792347.

Almost surely, 2342320132 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 342320132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395399424).

342320132 is an abundant number, since it is smaller than the sum of its proper divisors (448478716).

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

342320132 is a wasteful number, since it uses less digits than its factorization.

342320132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 342320132 is about 18501.8953623676. The cubic root of 342320132 is about 699.5371988509.

Adding to 342320132 its reverse (231023243), we get a palindrome (573343375).

The spelling of 342320132 in words is "three hundred forty-two million, three hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 121 154 161 191 242 253 308 322 382 484 506 529 644 764 847 1012 1058 1337 1694 1771 2101 2116 2674 2783 3388 3542 3703 4202 4393 5348 5566 5819 7084 7406 8404 8786 11132 11638 14707 14812 17572 19481 23111 23276 29414 30751 38962 40733 46222 48323 58828 61502 64009 77924 81466 92444 96646 101039 123004 128018 161777 162932 193292 202078 256036 323554 338261 404156 448063 531553 647108 676522 707273 896126 1063106 1111429 1353044 1414546 1792252 2126212 2222858 2829092 3720871 4445716 7441742 7780003 12225719 14883484 15560006 24451438 31120012 48902876 85580033 171160066 342320132