Search a number
-
+
342090556080 = 243573132931091
BaseRepresentation
bin1001111101001100010…
…11111010001010110000
31012200222212201211001120
410332212023322022300
521101100140243310
6421053151502240
733500215515000
oct4764613721260
91180885654046
10342090556080
11122097223039
1256371527980
132634a0435b0
14127b321c000
158d72994b70
hex4fa62fa2b0

342090556080 has 640 divisors, whose sum is σ = 1337614387200. Its totient is φ = 71865077760.

The previous prime is 342090556069. The next prime is 342090556081. The reversal of 342090556080 is 80655090243.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (342090556081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 313556335 + ... + 313557425.

It is an arithmetic number, because the mean of its divisors is an integer number (2090022480).

Almost surely, 2342090556080 is an apocalyptic number.

342090556080 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 342090556080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668807193600).

342090556080 is an abundant number, since it is smaller than the sum of its proper divisors (995523831120).

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

342090556080 is a wasteful number, since it uses less digits than its factorization.

342090556080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 342090556080 in words is "three hundred forty-two billion, ninety million, five hundred fifty-six thousand, eighty".