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4634491320 = 23325312631579
BaseRepresentation
bin1000101000011110…
…01011100110111000
3102221222121112220200
410110033023212320
533442412210240
62043513122200
7222563345334
oct42417134670
912858545820
104634491320
111a6905aa18
12a940b9360
1358b205674
1431d7187c4
151c1d07930
hex1143cb9b8

4634491320 has 192 divisors, whose sum is σ = 15616972800. Its totient is φ = 1190695680.

The previous prime is 4634491297. The next prime is 4634491331. The reversal of 4634491320 is 231944364.

It is a happy number.

4634491320 is a `hidden beast` number, since 4 + 634 + 4 + 9 + 13 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2934291 + ... + 2935869.

It is an arithmetic number, because the mean of its divisors is an integer number (81338400).

Almost surely, 24634491320 is an apocalyptic number.

4634491320 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 4634491320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7808486400).

4634491320 is an abundant number, since it is smaller than the sum of its proper divisors (10982481480).

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

4634491320 is a wasteful number, since it uses less digits than its factorization.

4634491320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 4634491320 is about 68077.0983517952. The cubic root of 4634491320 is about 1667.2498654148.

The spelling of 4634491320 in words is "four billion, six hundred thirty-four million, four hundred ninety-one thousand, three hundred twenty".