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30305418 = 2311213319
BaseRepresentation
bin111001110011…
…0110010001010
32010000200012220
41303212302022
530224233133
63001314510
7515406663
oct163466212
963020186
1030305418
1116119a00
12a195a36
136381000
14404c36a
1529d95b3
hex1ce6c8a

30305418 has 96 divisors (see below), whose sum is σ = 75969600. Its totient is φ = 8030880.

The previous prime is 30305417. The next prime is 30305423. The reversal of 30305418 is 81450303.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30305413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1595013 + ... + 1595031.

It is an arithmetic number, because the mean of its divisors is an integer number (791350).

Almost surely, 230305418 is an apocalyptic number.

30305418 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30305418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37984800).

30305418 is an abundant number, since it is smaller than the sum of its proper divisors (45664182).

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

30305418 is a wasteful number, since it uses less digits than its factorization.

30305418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 30305418 is about 5505.0356947072. The cubic root of 30305418 is about 311.7741420957.

It can be divided in two parts, 3030 and 5418, that added together give a palindrome (8448).

The spelling of 30305418 in words is "thirty million, three hundred five thousand, four hundred eighteen".

Divisors: 1 2 3 6 11 13 19 22 26 33 38 39 57 66 78 114 121 143 169 209 242 247 286 338 363 418 429 494 507 627 726 741 858 1014 1254 1482 1573 1859 2197 2299 2717 3146 3211 3718 4394 4598 4719 5434 5577 6422 6591 6897 8151 9438 9633 11154 13182 13794 16302 19266 20449 24167 29887 35321 40898 41743 48334 59774 61347 70642 72501 83486 89661 105963 122694 125229 145002 179322 211926 250458 265837 388531 459173 531674 777062 797511 918346 1165593 1377519 1595022 2331186 2755038 5050903 10101806 15152709 30305418