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2349497472 = 27372236189
BaseRepresentation
bin1000110000001010…
…0111110010000000
320001201222211121220
42030002213302000
514302432404342
61025045515040
7112136253600
oct21402476200
96051884556
102349497472
11aa6259253
12556a12a80
132b59b58ba
14184074c00
15db3ec5ec
hex8c0a7c80

2349497472 has 384 divisors, whose sum is σ = 7786108800. Its totient is φ = 624476160.

The previous prime is 2349497467. The next prime is 2349497477. The reversal of 2349497472 is 2747949432.

It is an interprime number because it is at equal distance from previous prime (2349497467) and next prime (2349497477).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (2349497477) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 26398804 + ... + 26398892.

It is an arithmetic number, because the mean of its divisors is an integer number (20276325).

Almost surely, 22349497472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2349497472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893054400).

2349497472 is an abundant number, since it is smaller than the sum of its proper divisors (5436611328).

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

2349497472 is a wasteful number, since it uses less digits than its factorization.

2349497472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 51.

The square root of 2349497472 is about 48471.6151164782. The cubic root of 2349497472 is about 1329.4081207580.

The spelling of 2349497472 in words is "two billion, three hundred forty-nine million, four hundred ninety-seven thousand, four hundred seventy-two".