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342190080 = 2113254779
BaseRepresentation
bin10100011001010…
…110100000000000
3212211220001112200
4110121112200000
51200100040310
653542153200
711323365501
oct2431264000
9784801480
10342190080
11166180521
1296722800
1355b8044b
1433636ba8
15200949c0
hex14656800

342190080 has 288 divisors, whose sum is σ = 1226534400. Its totient is φ = 88178688.

The previous prime is 342190049. The next prime is 342190099. The reversal of 342190080 is 80091243.

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

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, 4331481 + ... + 4331559.

It is an arithmetic number, because the mean of its divisors is an integer number (4258800).

Almost surely, 2342190080 is an apocalyptic number.

342190080 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 342190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613267200).

342190080 is an abundant number, since it is smaller than the sum of its proper divisors (884344320).

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

342190080 is a wasteful number, since it uses less digits than its factorization.

342190080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 342190080 is about 18498.3804696519. The cubic root of 342190080 is about 699.4485997817.

The spelling of 342190080 in words is "three hundred forty-two million, one hundred ninety thousand, eighty".