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2349203472 = 243572111959
BaseRepresentation
bin1000110000000110…
…0000000000010000
320001201102220100000
42030001200000100
514302344002342
61025035330000
7112133620500
oct21401400020
96051386300
102349203472
11aa6078380
125568b0900
132b5911b35
14183dd9a00
15db39044c
hex8c060010

2349203472 has 720 divisors, whose sum is σ = 9261907200. Its totient is φ = 568270080.

The previous prime is 2349203459. The next prime is 2349203501. The reversal of 2349203472 is 2743029432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39816979 + ... + 39817037.

It is an arithmetic number, because the mean of its divisors is an integer number (12863760).

Almost surely, 22349203472 is an apocalyptic number.

2349203472 is a gapful number since it is divisible by the number (22) 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 2349203472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4630953600).

2349203472 is an abundant number, since it is smaller than the sum of its proper divisors (6912703728).

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

2349203472 is a wasteful number, since it uses less digits than its factorization.

2349203472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2349203472 is about 48468.5823188589. The cubic root of 2349203472 is about 1329.3526674400.

The spelling of 2349203472 in words is "two billion, three hundred forty-nine million, two hundred three thousand, four hundred seventy-two".