Search a number
-
+
2342108160 = 210325753137
BaseRepresentation
bin1000101110011001…
…1011110000000000
320001020002102101200
42023212123300000
514244034430120
61024223301200
7112016406450
oct21346336000
96036072350
102342108160
11aa2071587
1255444a800
132b42c9422
141830add60
15da93ce90
hex8b99bc00

2342108160 has 528 divisors, whose sum is σ = 9518648256. Its totient is φ = 521404416.

The previous prime is 2342108143. The next prime is 2342108221. The reversal of 2342108160 is 618012432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17095612 + ... + 17095748.

Almost surely, 22342108160 is an apocalyptic number.

2342108160 is a gapful number since it is divisible by the number (20) 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 2342108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4759324128).

2342108160 is an abundant number, since it is smaller than the sum of its proper divisors (7176540096).

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

2342108160 is a wasteful number, since it uses less digits than its factorization.

2342108160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2342108160 is about 48395.3320062999. The cubic root of 2342108160 is about 1328.0129674062.

The spelling of 2342108160 in words is "two billion, three hundred forty-two million, one hundred eight thousand, one hundred sixty".