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4209340080 = 24351117711321
BaseRepresentation
bin1111101011100101…
…0110111010110000
3101212100121122001110
43322321112322300
532110042340310
61533404433320
7206211541341
oct37271267260
911770548043
104209340080
111870076560
12995848840
135210c909a
142bd0880c8
15199826d20
hexfae56eb0

4209340080 has 320 divisors, whose sum is σ = 15296449536. Its totient is φ = 946176000.

The previous prime is 4209340013. The next prime is 4209340087. The reversal of 4209340080 is 800439024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4209340087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3185820 + ... + 3187140.

Almost surely, 24209340080 is an apocalyptic number.

4209340080 is a gapful number since it is divisible by the number (40) 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 4209340080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7648224768).

4209340080 is an abundant number, since it is smaller than the sum of its proper divisors (11087109456).

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

4209340080 is a wasteful number, since it uses less digits than its factorization.

4209340080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 4209340080 is about 64879.4272477802. The cubic root of 4209340080 is about 1614.6237567950.

The spelling of 4209340080 in words is "four billion, two hundred nine million, three hundred forty thousand, eighty".