Search a number
-
+
9430300672 = 211131272789
BaseRepresentation
bin10001100100001011…
…01111100000000000
3220100012202220120021
420302011233200000
5123303124110142
64155432023224
7452456142652
oct106205574000
926305686507
109430300672
113aaa182521
1219b2231b14
13b73970690
146566266d2
153a2d78267
hex23216f800

9430300672 has 96 divisors (see below), whose sum is σ = 20473689600. Its totient is φ = 4316626944.

The previous prime is 9430300619. The next prime is 9430300681. The reversal of 9430300672 is 2760030349.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3379854 + ... + 3382642.

It is an arithmetic number, because the mean of its divisors is an integer number (213267600).

Almost surely, 29430300672 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 9430300672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10236844800).

9430300672 is an abundant number, since it is smaller than the sum of its proper divisors (11043388928).

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

9430300672 is a wasteful number, since it uses less digits than its factorization.

9430300672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 9430300672 is about 97109.7352071356. The cubic root of 9430300672 is about 2112.7195283316.

The spelling of 9430300672 in words is "nine billion, four hundred thirty million, three hundred thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 128 208 254 256 416 508 512 832 1016 1024 1651 1664 2032 2048 2789 3302 3328 4064 5578 6604 6656 8128 11156 13208 13312 16256 22312 26416 26624 32512 36257 44624 52832 65024 72514 89248 105664 130048 145028 178496 211328 260096 290056 354203 356992 422656 580112 708406 713984 845312 1160224 1416812 1427968 1690624 2320448 2833624 2855936 3381248 4604639 4640896 5667248 5711872 9209278 9281792 11334496 18418556 18563584 22668992 36837112 37127168 45337984 73674224 74254336 90675968 147348448 181351936 294696896 362703872 589393792 725407744 1178787584 2357575168 4715150336 9430300672