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30926304 = 2532731471
BaseRepresentation
bin111010111111…
…0010111100000
32011012012220200
41311332113200
530404120204
63022505200
7523604103
oct165762740
964165820
1030926304
1116503432
12a435200
13653a7b6
14417073a
152aad539
hex1d7e5e0

30926304 has 72 divisors (see below), whose sum is σ = 89212032. Its totient is φ = 10160640.

The previous prime is 30926303. The next prime is 30926321. The reversal of 30926304 is 40362903.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30926303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20289 + ... + 21759.

It is an arithmetic number, because the mean of its divisors is an integer number (1239056).

Almost surely, 230926304 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 30926304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44606016).

30926304 is an abundant number, since it is smaller than the sum of its proper divisors (58285728).

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

30926304 is a wasteful number, since it uses less digits than its factorization.

30926304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 30926304 is about 5561.1423286947. The cubic root of 30926304 is about 313.8889352558. Note that the first 3 decimals are identical.

The spelling of 30926304 in words is "thirty million, nine hundred twenty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 876 1168 1314 1471 1752 2336 2628 2942 3504 4413 5256 5884 7008 8826 10512 11768 13239 17652 21024 23536 26478 35304 47072 52956 70608 105912 107383 141216 211824 214766 322149 423648 429532 644298 859064 966447 1288596 1718128 1932894 2577192 3436256 3865788 5154384 7731576 10308768 15463152 30926304