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30905424 = 243211109179
BaseRepresentation
bin111010111100…
…1010001010000
32011011011021100
41311321101100
530402433144
63022224400
7523456164
oct165712120
964134240
1030905424
1116499780
12a425100
136531144
144166ca4
152aa7269
hex1d79450

30905424 has 120 divisors (see below), whose sum is σ = 95752800. Its totient is φ = 9227520.

The previous prime is 30905423. The next prime is 30905429. The reversal of 30905424 is 42450903.

30905424 is a `hidden beast` number, since 30 + 90 + 542 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30905423) 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, 172567 + ... + 172745.

It is an arithmetic number, because the mean of its divisors is an integer number (797940).

Almost surely, 230905424 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 30905424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47876400).

30905424 is an abundant number, since it is smaller than the sum of its proper divisors (64847376).

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

30905424 is a wasteful number, since it uses less digits than its factorization.

30905424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 30905424 is about 5559.2646995803. The cubic root of 30905424 is about 313.8182782890.

It can be divided in two parts, 30905 and 424, that added together give a square (31329 = 1772).

The spelling of 30905424 in words is "thirty million, nine hundred five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 109 132 144 176 179 198 218 264 327 358 396 436 528 537 654 716 792 872 981 1074 1199 1308 1432 1584 1611 1744 1962 1969 2148 2398 2616 2864 3222 3597 3924 3938 4296 4796 5232 5907 6444 7194 7848 7876 8592 9592 10791 11814 12888 14388 15696 15752 17721 19184 19511 21582 23628 25776 28776 31504 35442 39022 43164 47256 57552 58533 70884 78044 86328 94512 117066 141768 156088 172656 175599 214621 234132 283536 312176 351198 429242 468264 643863 702396 858484 936528 1287726 1404792 1716968 1931589 2575452 2809584 3433936 3863178 5150904 7726356 10301808 15452712 30905424