Search a number
-
+
30121344 = 2732112377
BaseRepresentation
bin111001011100…
…1110110000000
32002200022201100
41302321312000
530202340334
62553334400
7514012221
oct162716600
962608640
1030121344
1116003680
12a107400
1363182a6
144001248
15299ec99
hex1cb9d80

30121344 has 96 divisors (see below), whose sum is σ = 94596840. Its totient is φ = 9123840.

The previous prime is 30121321. The next prime is 30121349. The reversal of 30121344 is 44312103.

30121344 is a `hidden beast` number, since 301 + 21 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30121349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11484 + ... + 13860.

Almost surely, 230121344 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 30121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47298420).

30121344 is an abundant number, since it is smaller than the sum of its proper divisors (64475496).

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

30121344 is a wasteful number, since it uses less digits than its factorization.

30121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30121344 is about 5488.2915374459. The cubic root of 30121344 is about 311.1416248227.

Adding to 30121344 its reverse (44312103), we get a palindrome (74433447).

It can be divided in two parts, 3012 and 1344, that added together give a square (4356 = 662).

The spelling of 30121344 in words is "thirty million, one hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 2377 3168 4224 4754 6336 7131 9508 12672 14262 19016 21393 26147 28524 38032 42786 52294 57048 76064 78441 85572 104588 114096 152128 156882 171144 209176 228192 235323 304256 313764 342288 418352 456384 470646 627528 684576 836704 912768 941292 1255056 1369152 1673408 1882584 2510112 2738304 3346816 3765168 5020224 7530336 10040448 15060672 30121344