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6416750340 = 22355711131319
BaseRepresentation
bin1011111100111011…
…11101011100000100
3121120012020200200000
411332131331130010
5101120142002330
62540421121300
7315004322640
oct57635753404
917505220600
106416750340
1127a30a7560
1212b0b59230
137b35235c0
1444c2d3c20
15278509560
hex17e77d704

6416750340 has 576 divisors, whose sum is σ = 27122135040. Its totient is φ = 1229852160.

The previous prime is 6416750267. The next prime is 6416750363. The reversal of 6416750340 is 430576146.

It is a happy number.

6416750340 is a `hidden beast` number, since 641 + 6 + 7 + 5 + 0 + 3 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6416750295 and 6416750304.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4864201 + ... + 4865519.

It is an arithmetic number, because the mean of its divisors is an integer number (47087040).

Almost surely, 26416750340 is an apocalyptic number.

6416750340 is a gapful number since it is divisible by the number (60) 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 6416750340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13561067520).

6416750340 is an abundant number, since it is smaller than the sum of its proper divisors (20705384700).

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

6416750340 is a wasteful number, since it uses less digits than its factorization.

6416750340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 6416750340 is about 80104.6212150086. The cubic root of 6416750340 is about 1858.2538763822.

The spelling of 6416750340 in words is "six billion, four hundred sixteen million, seven hundred fifty thousand, three hundred forty".