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9680352 = 2531189103
BaseRepresentation
bin100100111011…
…010111100000
3200012210221120
4210323113200
54434232402
6543252240
7145165413
oct44732740
920183846
109680352
115511aa0
1232aa080
13200c226
1413ddb7a
15cb33bc
hex93b5e0

9680352 has 96 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 2872320.

The previous prime is 9680351. The next prime is 9680357. The reversal of 9680352 is 2530869.

It is a happy number.

9680352 is nontrivially palindromic in base 15.

9680352 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9680351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93933 + ... + 94035.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 29680352 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 9680352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

9680352 is an abundant number, since it is smaller than the sum of its proper divisors (18624288).

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

9680352 is a wasteful number, since it uses less digits than its factorization.

9680352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 9680352 is about 3111.3264052491. The cubic root of 9680352 is about 213.1230306002.

Adding to 9680352 its reverse (2530869), we get a palindrome (12211221).

It can be divided in two parts, 9 and 680352, that added together give a triangular number (680361 = T1166).

The spelling of 9680352 in words is "nine million, six hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 89 96 103 132 176 178 206 264 267 309 352 356 412 528 534 618 712 824 979 1056 1068 1133 1236 1424 1648 1958 2136 2266 2472 2848 2937 3296 3399 3916 4272 4532 4944 5874 6798 7832 8544 9064 9167 9888 11748 13596 15664 18128 18334 23496 27192 27501 31328 36256 36668 46992 54384 55002 73336 93984 100837 108768 110004 146672 201674 220008 293344 302511 403348 440016 605022 806696 880032 1210044 1613392 2420088 3226784 4840176 9680352