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30330916 = 22711197173
BaseRepresentation
bin111001110110…
…1000000100100
32010001222012021
41303231000210
530231042131
63002032524
7515544220
oct163550044
963058167
1030330916
1116137080
12a1a8744
13638c7b5
144057780
1529e1e11
hex1ced024

30330916 has 96 divisors (see below), whose sum is σ = 71608320. Its totient is φ = 10886400.

The previous prime is 30330913. The next prime is 30330931. The reversal of 30330916 is 61903303.

It is not an unprimeable number, because it can be changed into a prime (30330913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415456 + ... + 415528.

It is an arithmetic number, because the mean of its divisors is an integer number (745920).

Almost surely, 230330916 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 30330916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35804160).

30330916 is an abundant number, since it is smaller than the sum of its proper divisors (41277404).

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

30330916 is a wasteful number, since it uses less digits than its factorization.

30330916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 25.

The square root of 30330916 is about 5507.3510874104. The cubic root of 30330916 is about 311.8615564825.

The spelling of 30330916 in words is "thirty million, three hundred thirty thousand, nine hundred sixteen".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 71 73 76 77 133 142 146 154 209 266 284 292 308 418 497 511 532 781 803 836 994 1022 1349 1387 1463 1562 1606 1988 2044 2698 2774 2926 3124 3212 5183 5396 5467 5548 5621 5852 9443 9709 10366 10934 11242 14839 15257 18886 19418 20732 21868 22484 29678 30514 36281 37772 38836 57013 59356 61028 72562 98477 103873 106799 114026 145124 196954 207746 213598 228052 393908 399091 415492 427196 689339 798182 1083247 1378678 1596364 2166494 2757356 4332988 7582729 15165458 30330916