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9042330 = 2351124753
BaseRepresentation
bin100010011111…
…100110011010
3122000101202010
4202133212122
54303323310
6521450350
7136600323
oct42374632
918011663
109042330
115116700
1230409b6
131b479bb
1412b544a
15bd9320
hex89f99a

9042330 has 96 divisors (see below), whose sum is σ = 24820992. Its totient is φ = 2104960.

The previous prime is 9042307. The next prime is 9042331. The reversal of 9042330 is 332409.

It is a junction number, because it is equal to n+sod(n) for n = 9042297 and 9042306.

It is not an unprimeable number, because it can be changed into a prime (9042331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170584 + ... + 170636.

It is an arithmetic number, because the mean of its divisors is an integer number (258552).

Almost surely, 29042330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9042330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12410496).

9042330 is an abundant number, since it is smaller than the sum of its proper divisors (15778662).

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

9042330 is a wasteful number, since it uses less digits than its factorization.

9042330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 9042330 is about 3007.0467239469. The cubic root of 9042330 is about 208.3339832869. Note that the first 3 decimals are identical.

Adding to 9042330 its reverse (332409), we get a palindrome (9374739).

The spelling of 9042330 in words is "nine million, forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 53 55 66 94 106 110 121 141 159 165 235 242 265 282 318 330 363 470 517 530 583 605 705 726 795 1034 1166 1210 1410 1551 1590 1749 1815 2491 2585 2915 3102 3498 3630 4982 5170 5687 5830 6413 7473 7755 8745 11374 12455 12826 14946 15510 17061 17490 19239 24910 27401 28435 32065 34122 37365 38478 54802 56870 64130 74730 82203 85305 96195 137005 164406 170610 192390 274010 301411 411015 602822 822030 904233 1507055 1808466 3014110 4521165 9042330