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342259480080 = 24345723328061
BaseRepresentation
bin1001111101100000100…
…00010011011000010000
31012201102122121001020000
410332300100103120100
521101421411330310
6421122024250000
733504336402540
oct4766020233020
91181378531200
10342259480080
11122173610151
12563ba010900
1326376039c1b
14127cb831320
158d827114c0
hex4fb0413610

342259480080 has 400 divisors, whose sum is σ = 1417605767424. Its totient is φ = 74829173760.

The previous prime is 342259480051. The next prime is 342259480091. The reversal of 342259480080 is 80084952243.

342259480080 is a `hidden beast` number, since 3 + 42 + 2 + 59 + 480 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 879250 + ... + 1207310.

Almost surely, 2342259480080 is an apocalyptic number.

342259480080 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 342259480080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708802883712).

342259480080 is an abundant number, since it is smaller than the sum of its proper divisors (1075346287344).

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

342259480080 is a wasteful number, since it uses less digits than its factorization.

342259480080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328116 (or 328101 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 342259480080 in words is "three hundred forty-two billion, two hundred fifty-nine million, four hundred eighty thousand, eighty".