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9000348 = 2237109983
BaseRepresentation
bin100010010101…
…010110011100
3121221021011020
4202111112130
54301002343
6520524140
7136334040
oct42252634
917837136
109000348
115098105
123020650
131b31866
1412a4020
15bcbb83
hex89559c

9000348 has 48 divisors (see below), whose sum is σ = 24245760. Its totient is φ = 2545344.

The previous prime is 9000331. The next prime is 9000349. The reversal of 9000348 is 8430009.

It is a super-2 number, since 2×90003482 = 162012528242208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8665 + ... + 9647.

It is an arithmetic number, because the mean of its divisors is an integer number (505120).

Almost surely, 29000348 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 9000348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12122880).

9000348 is an abundant number, since it is smaller than the sum of its proper divisors (15245412).

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

9000348 is a wasteful number, since it uses less digits than its factorization.

9000348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 9000348 is about 3000.0579994393. The cubic root of 9000348 is about 208.0110632676.

The spelling of 9000348 in words is "nine million, three hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 109 218 327 436 654 763 983 1308 1526 1966 2289 2949 3052 3932 4578 5898 6881 9156 11796 13762 20643 27524 41286 82572 107147 214294 321441 428588 642882 750029 1285764 1500058 2250087 3000116 4500174 9000348