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342330120 = 2332511137631
BaseRepresentation
bin10100011001111…
…000101100001000
3212212011011122100
4110121320230020
51200114030440
653545153400
711324520666
oct2431705410
9785134570
10342330120
11166266760
129678b860
1355bcc102
1433671c36
15200c1230
hex14678b08

342330120 has 192 divisors, whose sum is σ = 1224512640. Its totient is φ = 82252800.

The previous prime is 342330113. The next prime is 342330133. The reversal of 342330120 is 21033243.

342330120 is a `hidden beast` number, since 342 + 3 + 301 + 20 = 666.

It is a super-2 number, since 2×3423301202 = 234379822118428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 342330093 and 342330102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542205 + ... + 542835.

It is an arithmetic number, because the mean of its divisors is an integer number (6377670).

Almost surely, 2342330120 is an apocalyptic number.

342330120 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 342330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612256320).

342330120 is an abundant number, since it is smaller than the sum of its proper divisors (882182520).

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

342330120 is a wasteful number, since it uses less digits than its factorization.

342330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 342330120 is about 18502.1652786910. The cubic root of 342330120 is about 699.5440023358.

Adding to 342330120 its reverse (21033243), we get a palindrome (363363363).

The spelling of 342330120 in words is "three hundred forty-two million, three hundred thirty thousand, one hundred twenty".