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2348394048 = 2632711134073
BaseRepresentation
bin1000101111111001…
…1010011001000000
320001122220210000100
42023332122121000
514302142102143
61025010122400
7112124006610
oct21376323100
96048823010
102348394048
11aa5675230
12556580400
132b56ba5a0
14183c68a40
15db2806d3
hex8bf9a640

2348394048 has 336 divisors, whose sum is σ = 9039977856. Its totient is φ = 562913280.

The previous prime is 2348394031. The next prime is 2348394071. The reversal of 2348394048 is 8404938432.

2348394048 is a `hidden beast` number, since 234 + 8 + 3 + 9 + 404 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2348393994 and 2348394012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 574540 + ... + 578612.

It is an arithmetic number, because the mean of its divisors is an integer number (26904696).

Almost surely, 22348394048 is an apocalyptic number.

2348394048 is a gapful number since it is divisible by the number (28) 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 2348394048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4519988928).

2348394048 is an abundant number, since it is smaller than the sum of its proper divisors (6691583808).

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

2348394048 is a wasteful number, since it uses less digits than its factorization.

2348394048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 2348394048 is about 48460.2316131485. The cubic root of 2348394048 is about 1329.1999726265.

The spelling of 2348394048 in words is "two billion, three hundred forty-eight million, three hundred ninety-four thousand, forty-eight".