Search a number
-
+
4329052704 = 253244333931
BaseRepresentation
bin1000000100000100…
…00001101000100000
3102011200212122220100
410002002001220200
532331214141304
61553322342400
7212164224624
oct40202015040
912150778810
104329052704
111921701409
12a0995aa00
1353cb52262
142d0d2b184
151a50c2439
hex102081a20

4329052704 has 72 divisors (see below), whose sum is σ = 12338896752. Its totient is φ = 1439717760.

The previous prime is 4329052681. The next prime is 4329052711. The reversal of 4329052704 is 4072509234.

4329052704 is a `hidden beast` number, since 43 + 2 + 90 + 527 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110619 + ... + 144549.

It is an arithmetic number, because the mean of its divisors is an integer number (171373566).

Almost surely, 24329052704 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 4329052704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6169448376).

4329052704 is an abundant number, since it is smaller than the sum of its proper divisors (8009844048).

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

4329052704 is a wasteful number, since it uses less digits than its factorization.

4329052704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34390 (or 34379 counting only the distinct ones).

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

The square root of 4329052704 is about 65795.5371130900. The cubic root of 4329052704 is about 1629.7874067524.

The spelling of 4329052704 in words is "four billion, three hundred twenty-nine million, fifty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 443 886 1329 1772 2658 3544 3987 5316 7088 7974 10632 14176 15948 21264 31896 33931 42528 63792 67862 101793 127584 135724 203586 271448 305379 407172 542896 610758 814344 1085792 1221516 1628688 2443032 3257376 4886064 9772128 15031433 30062866 45094299 60125732 90188598 120251464 135282897 180377196 240502928 270565794 360754392 481005856 541131588 721508784 1082263176 1443017568 2164526352 4329052704