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30034224 = 24321167283
BaseRepresentation
bin111001010010…
…0100100110000
32002111220012200
41302210210300
530142043344
62551423200
7513200223
oct162444460
962456180
1030034224
1115a54180
12a084b00
1362b773c
143dbb5ba
152984069
hex1ca4930

30034224 has 120 divisors (see below), whose sum is σ = 93392832. Its totient is φ = 8933760.

The previous prime is 30034219. The next prime is 30034229. The reversal of 30034224 is 42243003.

30034224 is a `hidden beast` number, since 300 + 342 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (30034219) and next prime (30034229).

It is a super-2 number, since 2×300342242 = 1804109222564352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30034197 and 30034206.

It is not an unprimeable number, because it can be changed into a prime (30034229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105987 + ... + 106269.

Almost surely, 230034224 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 30034224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46696416).

30034224 is an abundant number, since it is smaller than the sum of its proper divisors (63358608).

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

30034224 is a wasteful number, since it uses less digits than its factorization.

30034224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 30034224 is about 5480.3488940030. The cubic root of 30034224 is about 310.8413633872.

Adding to 30034224 its reverse (42243003), we get a palindrome (72277227).

It can be divided in two parts, 3003 and 4224, that added together give a palindrome (7227).

The spelling of 30034224 in words is "thirty million, thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 67 72 88 99 132 134 144 176 198 201 264 268 283 396 402 528 536 566 603 737 792 804 849 1072 1132 1206 1474 1584 1608 1698 2211 2264 2412 2547 2948 3113 3216 3396 4422 4528 4824 5094 5896 6226 6633 6792 8844 9339 9648 10188 11792 12452 13266 13584 17688 18678 18961 20376 24904 26532 28017 35376 37356 37922 40752 49808 53064 56034 56883 74712 75844 106128 112068 113766 149424 151688 170649 208571 224136 227532 303376 341298 417142 448272 455064 625713 682596 834284 910128 1251426 1365192 1668568 1877139 2502852 2730384 3337136 3754278 5005704 7508556 10011408 15017112 30034224