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9930336 = 2531373109
BaseRepresentation
bin100101111000…
…011001100000
3200200111212020
4211320121200
510020232321
6552501440
7150256263
oct45703140
920614766
109930336
115672899
1233aa880
132098c50
141466cda
15d124c6
hex978660

9930336 has 96 divisors (see below), whose sum is σ = 28717920. Its totient is φ = 2985984.

The previous prime is 9930317. The next prime is 9930337. The reversal of 9930336 is 6330399.

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

It is a super-2 number, since 2×99303362 = 197223146145792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9930297 and 9930306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9930337) 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, 91050 + ... + 91158.

It is an arithmetic number, because the mean of its divisors is an integer number (299145).

Almost surely, 29930336 is an apocalyptic number.

9930336 is a gapful number since it is divisible by the number (96) 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 9930336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14358960).

9930336 is an abundant number, since it is smaller than the sum of its proper divisors (18787584).

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

9930336 is a wasteful number, since it uses less digits than its factorization.

9930336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 33.

The square root of 9930336 is about 3151.2435640553. The cubic root of 9930336 is about 214.9420142887.

The spelling of 9930336 in words is "nine million, nine hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 73 78 96 104 109 146 156 208 218 219 292 312 327 416 436 438 584 624 654 872 876 949 1168 1248 1308 1417 1744 1752 1898 2336 2616 2834 2847 3488 3504 3796 4251 5232 5668 5694 7008 7592 7957 8502 10464 11336 11388 15184 15914 17004 22672 22776 23871 30368 31828 34008 45344 45552 47742 63656 68016 91104 95484 103441 127312 136032 190968 206882 254624 310323 381936 413764 620646 763872 827528 1241292 1655056 2482584 3310112 4965168 9930336