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342102334200 = 2335211131395677
BaseRepresentation
bin1001111101001101110…
…00110101101011111000
31012201000200220012121020
410332212320311223320
521101111144143300
6421054252142440
733500420601354
oct4764670655370
91181020805536
10342102334200
111220a2938120
1256375467a20
132634c6085b3
14127b4a06464
158d73a1e8a0
hex4fa6e35af8

342102334200 has 192 divisors, whose sum is σ = 1165762350720. Its totient is φ = 82300608000.

The previous prime is 342102334199. The next prime is 342102334229. The reversal of 342102334200 is 2433201243.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 666762 + ... + 1062438.

It is an arithmetic number, because the mean of its divisors is an integer number (6071678910).

Almost surely, 2342102334200 is an apocalyptic number.

342102334200 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 342102334200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582881175360).

342102334200 is an abundant number, since it is smaller than the sum of its proper divisors (823660016520).

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

342102334200 is a wasteful number, since it uses less digits than its factorization.

342102334200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395838 (or 395829 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 342102334200 its reverse (2433201243), we get a palindrome (344535535443).

The spelling of 342102334200 in words is "three hundred forty-two billion, one hundred two million, three hundred thirty-four thousand, two hundred".