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30809916 = 22331797173
BaseRepresentation
bin111010110000…
…1111100111100
32010222022021000
41311201330330
530341404131
63020210300
7522610554
oct165417474
963868230
1030809916
1116433a45
12a399990
1364c9827
144140164
152a88ce6
hex1d61f3c

30809916 has 96 divisors (see below), whose sum is σ = 85942080. Its totient is φ = 9510912.

The previous prime is 30809897. The next prime is 30809923. The reversal of 30809916 is 61990803.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178006 + ... + 178178.

It is an arithmetic number, because the mean of its divisors is an integer number (895230).

Almost surely, 230809916 is an apocalyptic number.

30809916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30809916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42971040).

30809916 is an abundant number, since it is smaller than the sum of its proper divisors (55132164).

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

30809916 is a wasteful number, since it uses less digits than its factorization.

30809916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 30809916 is about 5550.6680678996. The cubic root of 30809916 is about 313.4946772293.

It can be divided in two parts, 3080 and 9916, that added together give a square (12996 = 1142).

The spelling of 30809916 in words is "thirty million, eight hundred nine thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 97 102 108 153 173 194 204 291 306 346 388 459 519 582 612 692 873 918 1038 1164 1557 1649 1746 1836 2076 2619 2941 3114 3298 3492 4671 4947 5238 5882 6228 6596 8823 9342 9894 10476 11764 14841 16781 17646 18684 19788 26469 29682 33562 35292 44523 50343 52938 59364 67124 79407 89046 100686 105876 151029 158814 178092 201372 285277 302058 317628 453087 570554 604116 855831 906174 1141108 1711662 1812348 2567493 3423324 5134986 7702479 10269972 15404958 30809916