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342835200 = 214335231
BaseRepresentation
bin10100011011110…
…100000000000000
3212220002211111000
4110123310000000
51200231211300
654004052000
711332023351
oct2433640000
9786084430
10342835200
11166581184
1296994000
1356047c86
1433763d28
1520170c00
hex146f4000

342835200 has 360 divisors, whose sum is σ = 1300194560. Its totient is φ = 88473600.

The previous prime is 342835133. The next prime is 342835211. The reversal of 342835200 is 2538243.

342835200 is a `hidden beast` number, since 3 + 428 + 35 + 200 = 666.

342835200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11059185 + ... + 11059215.

Almost surely, 2342835200 is an apocalyptic number.

342835200 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 342835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650097280).

342835200 is an abundant number, since it is smaller than the sum of its proper divisors (957359360).

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

342835200 is an equidigital number, since it uses as much as digits as its factorization.

342835200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 342835200 is about 18515.8094611065. The cubic root of 342835200 is about 699.8878731968.

The spelling of 342835200 in words is "three hundred forty-two million, eight hundred thirty-five thousand, two hundred".