Search a number
-
+
30258984 = 23372341191
BaseRepresentation
bin111001101101…
…1011100101000
32002221022112010
41303123130220
530221241414
63000315520
7515124420
oct163333450
962838463
1030258984
1116098028
12a172ba0
136365b32
144039480
1529ca959
hex1cdb728

30258984 has 128 divisors (see below), whose sum is σ = 92897280. Its totient is φ = 8025600.

The previous prime is 30258983. The next prime is 30259013. The reversal of 30258984 is 48985203.

It is a happy number.

It is a super-2 number, since 2×302589842 = 1831212225424512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30258983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158329 + ... + 158519.

It is an arithmetic number, because the mean of its divisors is an integer number (725760).

Almost surely, 230258984 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 30258984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46448640).

30258984 is an abundant number, since it is smaller than the sum of its proper divisors (62638296).

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

30258984 is a wasteful number, since it uses less digits than its factorization.

30258984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 30258984 is about 5500.8166666414. The cubic root of 30258984 is about 311.6148271214.

The spelling of 30258984 in words is "thirty million, two hundred fifty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 41 42 46 56 69 82 84 92 123 138 161 164 168 184 191 246 276 287 322 328 382 483 492 552 573 574 644 764 861 943 966 984 1146 1148 1288 1337 1528 1722 1886 1932 2292 2296 2674 2829 3444 3772 3864 4011 4393 4584 5348 5658 6601 6888 7544 7831 8022 8786 10696 11316 13179 13202 15662 16044 17572 19803 22632 23493 26358 26404 30751 31324 32088 35144 39606 46986 52716 52808 54817 61502 62648 79212 92253 93972 105432 109634 123004 158424 164451 180113 184506 187944 219268 246008 328902 360226 369012 438536 540339 657804 720452 738024 1080678 1260791 1315608 1440904 2161356 2521582 3782373 4322712 5043164 7564746 10086328 15129492 30258984