Search a number
-
+
4604430336 = 211311193353
BaseRepresentation
bin1000100100111001…
…00000100000000000
3102212220001021222220
410102130200200000
533412213232321
62040520531040
7222050004102
oct42234404000
912786037886
104604430336
111a53098730
12a86020a80
13584c0b9bc
14319731572
151be36a9c6
hex112720800

4604430336 has 192 divisors, whose sum is σ = 13498954560. Its totient is φ = 1384120320.

The previous prime is 4604430317. The next prime is 4604430353. The reversal of 4604430336 is 6330344064.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4604430297 and 4604430306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13043536 + ... + 13043888.

It is an arithmetic number, because the mean of its divisors is an integer number (70307055).

Almost surely, 24604430336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4604430336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749477280).

4604430336 is an abundant number, since it is smaller than the sum of its proper divisors (8894524224).

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

4604430336 is a wasteful number, since it uses less digits than its factorization.

4604430336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

The square root of 4604430336 is about 67855.9528412946. The cubic root of 4604430336 is about 1663.6372483421.

The spelling of 4604430336 in words is "four billion, six hundred four million, four hundred thirty thousand, three hundred thirty-six".