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4316704000 = 2853722753
BaseRepresentation
bin1000000010100101…
…11010110100000000
3102010211122021122221
410001102322310000
532320034012000
61552201540424
7211654243600
oct40122726400
912124567587
104316704000
111915737674
12a057a4714
1353a41a62b
142cd434c00
151a3e8361a
hex1014bad00

4316704000 has 216 divisors, whose sum is σ = 12513658248. Its totient is φ = 1479475200.

The previous prime is 4316703977. The next prime is 4316704003. The reversal of 4316704000 is 4076134.

It can be written as a sum of positive squares in 4 ways, for example, as 9144576 + 4307559424 = 3024^2 + 65632^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4316704003) 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 23 ways as a sum of consecutive naturals, for example, 1566624 + ... + 1569376.

It is an arithmetic number, because the mean of its divisors is an integer number (57933603).

Almost surely, 24316704000 is an apocalyptic number.

4316704000 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 4316704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6256829124).

4316704000 is an abundant number, since it is smaller than the sum of its proper divisors (8196954248).

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

4316704000 is an equidigital number, since it uses as much as digits as its factorization.

4316704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 4316704000 is about 65701.6285947312. The cubic root of 4316704000 is about 1628.2362645510.

The spelling of 4316704000 in words is "four billion, three hundred sixteen million, seven hundred four thousand".