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342322240 = 26513196171
BaseRepresentation
bin10100011001110…
…110110001000000
3212212010202211111
4110121312301000
51200113302430
653545053104
711324456011
oct2431666100
9785122744
10342322240
11166260847
1296787194
1355bc8650
143366d008
15200bdc2a
hex14676c40

342322240 has 224 divisors, whose sum is σ = 952439040. Its totient is φ = 116121600.

The previous prime is 342322219. The next prime is 342322249. The reversal of 342322240 is 42223243.

342322240 = T208 + T209 + ... + T1272.

It is not an unprimeable number, because it can be changed into a prime (342322249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4821405 + ... + 4821475.

It is an arithmetic number, because the mean of its divisors is an integer number (4251960).

Almost surely, 2342322240 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 342322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476219520).

342322240 is an abundant number, since it is smaller than the sum of its proper divisors (610116800).

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

342322240 is a wasteful number, since it uses less digits than its factorization.

342322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 342322240 is about 18501.9523294165. The cubic root of 342322240 is about 699.5386347596.

Adding to 342322240 its reverse (42223243), we get a palindrome (384545483).

The spelling of 342322240 in words is "three hundred forty-two million, three hundred twenty-two thousand, two hundred forty".