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3000834 = 23361911
BaseRepresentation
bin1011011100101000000010
312122110101000
423130220002
51232011314
6144152430
734335534
oct13345002
95573330
103000834
11176a631
121008716
13810b55
14581854
153e4209
hex2dca02

3000834 has 32 divisors (see below), whose sum is σ = 6785280. Its totient is φ = 982800.

The previous prime is 3000821. The next prime is 3000847. The reversal of 3000834 is 4380003.

It is an interprime number because it is at equal distance from previous prime (3000821) and next prime (3000847).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2839 + ... + 3749.

It is an arithmetic number, because the mean of its divisors is an integer number (212040).

Almost surely, 23000834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392640).

3000834 is an abundant number, since it is smaller than the sum of its proper divisors (3784446).

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

3000834 is a wasteful number, since it uses less digits than its factorization.

3000834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3000834 is about 1732.2915459010. The cubic root of 3000834 is about 144.2383206385.

Adding to 3000834 its reverse (4380003), we get a palindrome (7380837).

The spelling of 3000834 in words is "three million, eight hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 61 122 183 366 549 911 1098 1647 1822 2733 3294 5466 8199 16398 24597 49194 55571 111142 166713 333426 500139 1000278 1500417 3000834