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342089568 = 2535293741
BaseRepresentation
bin10100011000111…
…101111101100000
3212211200221200000
4110120331331200
51200033331233
653540100000
711322466452
oct2430757540
9784627600
10342089568
11166111a57
1296694600
1355b46782
143360c2d2
1520074d13
hex1463df60

342089568 has 288 divisors, whose sum is σ = 1097984160. Its totient is φ = 104509440.

The previous prime is 342089537. The next prime is 342089581. The reversal of 342089568 is 865980243.

342089568 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 89 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 8343628 + ... + 8343668.

It is an arithmetic number, because the mean of its divisors is an integer number (3812445).

Almost surely, 2342089568 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 342089568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548992080).

342089568 is an abundant number, since it is smaller than the sum of its proper divisors (755894592).

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

342089568 is a wasteful number, since it uses less digits than its factorization.

342089568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 342089568 is about 18495.6634917485. The cubic root of 342089568 is about 699.3801097169.

The spelling of 342089568 in words is "three hundred forty-two million, eighty-nine thousand, five hundred sixty-eight".