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3000690 = 2325711433
BaseRepresentation
bin1011011100100101110010
312122110011200
423130211302
51232010230
6144152030
734335240
oct13344562
95573150
103000690
11176a510
121008616
13810a74
14581790
153e4160
hex2dc972

3000690 has 96 divisors (see below), whose sum is σ = 9749376. Its totient is φ = 622080.

The previous prime is 3000677. The next prime is 3000709. The reversal of 3000690 is 960003.

It is a super-2 number, since 2×30006902 = 18008280952200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6714 + ... + 7146.

It is an arithmetic number, because the mean of its divisors is an integer number (101556).

Almost surely, 23000690 is an apocalyptic number.

3000690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874688).

3000690 is an abundant number, since it is smaller than the sum of its proper divisors (6748686).

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

3000690 is a wasteful number, since it uses less digits than its factorization.

3000690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3000690 is about 1732.2499819599. The cubic root of 3000690 is about 144.2360134298.

Adding to 3000690 its reverse (960003), we get a palindrome (3960693).

The spelling of 3000690 in words is "three million, six hundred ninety", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 433 462 495 630 693 770 866 990 1155 1299 1386 2165 2310 2598 3031 3465 3897 4330 4763 6062 6495 6930 7794 9093 9526 12990 14289 15155 18186 19485 23815 27279 28578 30310 33341 38970 42867 45465 47630 54558 66682 71445 85734 90930 100023 136395 142890 166705 200046 214335 272790 300069 333410 428670 500115 600138 1000230 1500345 3000690