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2349040680 = 2332571971691
BaseRepresentation
bin1000110000000011…
…1000010000101000
320001201010122000200
42030000320100220
514302323300210
61025032032200
7112132342050
oct21400702050
96051118020
102349040680
11aa5a77038
12556832660
132b58859cc
14183d96560
15db35c0c0
hex8c038428

2349040680 has 384 divisors, whose sum is σ = 9327052800. Its totient is φ = 500774400.

The previous prime is 2349040667. The next prime is 2349040709. The reversal of 2349040680 is 860409432.

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 95 ways as a sum of consecutive naturals, for example, 3399135 + ... + 3399825.

It is an arithmetic number, because the mean of its divisors is an integer number (24289200).

Almost surely, 22349040680 is an apocalyptic number.

2349040680 is a gapful number since it is divisible by the number (20) 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 2349040680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4663526400).

2349040680 is an abundant number, since it is smaller than the sum of its proper divisors (6978012120).

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

2349040680 is a wasteful number, since it uses less digits than its factorization.

2349040680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2349040680 is about 48466.9029338579. The cubic root of 2349040680 is about 1329.3219601555.

The spelling of 2349040680 in words is "two billion, three hundred forty-nine million, forty thousand, six hundred eighty".