[go: up one dir, main page]

Search a number
-
+
30234384 = 243441569
BaseRepresentation
bin111001101010…
…1011100010000
32002220001210000
41303111130100
530220000014
63000010000
7514662615
oct163253420
962801700
1030234384
11160805a4
12a160900
13635788b
14403050c
1529c3509
hex1cd5710

30234384 has 100 divisors (see below), whose sum is σ = 89798940. Its totient is φ = 9815040.

The previous prime is 30234371. The next prime is 30234389. The reversal of 30234384 is 48343203.

30234384 = 2153 + 2163 + 2173.

It can be written as a sum of positive squares in 2 ways, for example, as 2985984 + 27248400 = 1728^2 + 5220^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30234389) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52852 + ... + 53420.

Almost surely, 230234384 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 30234384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44899470).

30234384 is an abundant number, since it is smaller than the sum of its proper divisors (59564556).

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

30234384 is a wasteful number, since it uses less digits than its factorization.

30234384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 30234384 is about 5498.5801803738. The cubic root of 30234384 is about 311.5303585104.

Adding to 30234384 its reverse (48343203), we get a palindrome (78577587).

The spelling of 30234384 in words is "thirty million, two hundred thirty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 123 144 162 164 216 246 324 328 369 432 492 569 648 656 738 984 1107 1138 1296 1476 1707 1968 2214 2276 2952 3321 3414 4428 4552 5121 5904 6642 6828 8856 9104 10242 13284 13656 15363 17712 20484 23329 26568 27312 30726 40968 46089 46658 53136 61452 69987 81936 92178 93316 122904 139974 184356 186632 209961 245808 279948 368712 373264 419922 559896 629883 737424 839844 1119792 1259766 1679688 1889649 2519532 3359376 3779298 5039064 7558596 10078128 15117192 30234384