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9038340 = 22325149337
BaseRepresentation
bin100010011110…
…101000000100
3122000012021100
4202132220010
54303211330
6521420100
7136552563
oct42365004
918005240
109038340
115113703
12303a630
131b45c3c
1412b3bda
15bd8060
hex89ea04

9038340 has 72 divisors (see below), whose sum is σ = 27682200. Its totient is φ = 2386944.

The previous prime is 9038317. The next prime is 9038347. The reversal of 9038340 is 438309.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 9036036 = 48^2 + 3006^2 .

It is not an unprimeable number, because it can be changed into a prime (9038347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26652 + ... + 26988.

It is an arithmetic number, because the mean of its divisors is an integer number (384475).

Almost surely, 29038340 is an apocalyptic number.

9038340 is a gapful number since it is divisible by the number (90) 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 9038340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13841100).

9038340 is an abundant number, since it is smaller than the sum of its proper divisors (18643860).

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

9038340 is a wasteful number, since it uses less digits than its factorization.

9038340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 9038340 is about 3006.3832091069. The cubic root of 9038340 is about 208.3033357698.

The spelling of 9038340 in words is "nine million, thirty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 149 180 298 337 447 596 674 745 894 1011 1341 1348 1490 1685 1788 2022 2235 2682 2980 3033 3370 4044 4470 5055 5364 6066 6705 6740 8940 10110 12132 13410 15165 20220 26820 30330 50213 60660 100426 150639 200852 251065 301278 451917 502130 602556 753195 903834 1004260 1506390 1807668 2259585 3012780 4519170 9038340