Search a number
-
+
2346116064 = 25324438709
BaseRepresentation
bin1000101111010110…
…1110001111100000
320001111122001012120
42023311232033200
514301101203224
61024445224240
7112065441345
oct21365561740
96044561176
102346116064
11aa43597a6
12555862080
132b50a0776
141838347cc
15dae80779
hex8bd6e3e0

2346116064 has 24 divisors (see below), whose sum is σ = 6158554920. Its totient is φ = 782038656.

The previous prime is 2346116021. The next prime is 2346116083. The reversal of 2346116064 is 4606116432.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 12219259 + ... + 12219450.

It is an arithmetic number, because the mean of its divisors is an integer number (256606455).

Almost surely, 22346116064 is an apocalyptic number.

2346116064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2346116064 is an abundant number, since it is smaller than the sum of its proper divisors (3812438856).

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

2346116064 is a wasteful number, since it uses less digits than its factorization.

2346116064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24438722 (or 24438714 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 2346116064 is about 48436.7222673046. The cubic root of 2346116064 is about 1328.7700510469.

The spelling of 2346116064 in words is "two billion, three hundred forty-six million, one hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 24438709 48877418 73316127 97754836 146632254 195509672 293264508 391019344 586529016 782038688 1173058032 2346116064