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30216816 = 2432731967
BaseRepresentation
bin111001101000…
…1001001110000
32002212011200100
41303101021300
530213414231
62555352400
7514560450
oct163211160
962764610
1030216816
1116069383
12a152700
13634c896
144027d60
1529bd1e6
hex1cd1270

30216816 has 120 divisors (see below), whose sum is σ = 99866624. Its totient is φ = 8346240.

The previous prime is 30216763. The next prime is 30216833. The reversal of 30216816 is 61861203.

It is a self number, because there is not a number n which added to its sum of digits gives 30216816.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 30765 + ... + 31731.

Almost surely, 230216816 is an apocalyptic number.

30216816 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 30216816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49933312).

30216816 is an abundant number, since it is smaller than the sum of its proper divisors (69649808).

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

30216816 is a wasteful number, since it uses less digits than its factorization.

30216816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 30216816 is about 5496.9824449420. The cubic root of 30216816 is about 311.4700075126.

The spelling of 30216816 in words is "thirty million, two hundred sixteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 744 868 967 1008 1116 1302 1488 1736 1934 1953 2232 2604 2901 3472 3868 3906 4464 5208 5802 6769 7736 7812 8703 10416 11604 13538 15472 15624 17406 20307 23208 27076 29977 31248 34812 40614 46416 54152 59954 60921 69624 81228 89931 108304 119908 121842 139248 162456 179862 209839 239816 243684 269793 324912 359724 419678 479632 487368 539586 629517 719448 839356 974736 1079172 1259034 1438896 1678712 1888551 2158344 2518068 3357424 3777102 4316688 5036136 7554204 10072272 15108408 30216816