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342102412080 = 24325111331107183
BaseRepresentation
bin1001111101001101110…
…01001000101100110000
31012201000201001011102200
410332212321020230300
521101111204141310
6421054253543200
733500421344412
oct4764671105460
91181021034380
10342102412080
111220a2990690
12563754a4b00
132634c634b90
14127b4a269b2
158d73a379c0
hex4fa6e48b30

342102412080 has 480 divisors, whose sum is σ = 1393302822912. Its totient is φ = 74084198400.

The previous prime is 342102412073. The next prime is 342102412081. The reversal of 342102412080 is 80214201243.

342102412080 is a `hidden beast` number, since 3 + 4 + 210 + 241 + 208 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (342102412081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3138169 + ... + 3245351.

Almost surely, 2342102412080 is an apocalyptic number.

342102412080 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 342102412080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696651411456).

342102412080 is an abundant number, since it is smaller than the sum of its proper divisors (1051200410832).

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

342102412080 is a wasteful number, since it uses less digits than its factorization.

342102412080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107257 (or 107248 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 342102412080 in words is "three hundred forty-two billion, one hundred two million, four hundred twelve thousand, eighty".