Search a number
-
+
3454567094340 = 22335293143915173
BaseRepresentation
bin110010010001010100001…
…111101001100001000100
3110020020211201110020201000
4302101110033221201010
5423044423134004330
611203001201533300
7504404251543515
oct62212417514104
913206751406630
103454567094340
11111208a07875a
12479627644230
131c09c217683b
14bd2b819ca0c
155ecdb925560
hex324543e9844

3454567094340 has 192 divisors, whose sum is σ = 10792428595200. Its totient is φ = 917375344128.

The previous prime is 3454567094339. The next prime is 3454567094347. The reversal of 3454567094340 is 434907654543.

3454567094340 is a `hidden beast` number, since 3 + 4 + 5 + 456 + 70 + 94 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3454567094347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227670994 + ... + 227686166.

It is an arithmetic number, because the mean of its divisors is an integer number (56210565600).

Almost surely, 23454567094340 is an apocalyptic number.

3454567094340 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 3454567094340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396214297600).

3454567094340 is an abundant number, since it is smaller than the sum of its proper divisors (7337861500860).

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

3454567094340 is a wasteful number, since it uses less digits than its factorization.

3454567094340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16923 (or 16915 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 3454567094340 in words is "three trillion, four hundred fifty-four billion, five hundred sixty-seven million, ninety-four thousand, three hundred forty".