Search a number
-
+
2338460720 = 245191538461
BaseRepresentation
bin1000101101100010…
…0001010000110000
320000222020010001022
42023120201100300
514242121220340
61024013155012
7111643405511
oct21330412060
96028203038
102338460720
11aa0000172
1255318ba68
132b362018b
14182800a08
15da46c3b5
hex8b621430

2338460720 has 40 divisors (see below), whose sum is σ = 5723078640. Its totient is φ = 886152960.

The previous prime is 2338460713. The next prime is 2338460737. The reversal of 2338460720 is 270648332.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 767711 + ... + 770750.

It is an arithmetic number, because the mean of its divisors is an integer number (143076966).

Almost surely, 22338460720 is an apocalyptic number.

2338460720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2338460720 is an abundant number, since it is smaller than the sum of its proper divisors (3384617920).

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

2338460720 is a wasteful number, since it uses less digits than its factorization.

2338460720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538493 (or 1538487 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 2338460720 is about 48357.6335235710. The cubic root of 2338460720 is about 1327.3232235291.

The spelling of 2338460720 in words is "two billion, three hundred thirty-eight million, four hundred sixty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 1538461 3076922 6153844 7692305 12307688 15384610 24615376 29230759 30769220 58461518 61538440 116923036 123076880 146153795 233846072 292307590 467692144 584615180 1169230360 2338460720