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30045184 = 210133761
BaseRepresentation
bin111001010011…
…1010000000000
32002112110020121
41302213100000
530142421214
62551550024
7513244201
oct162472000
962473217
1030045184
1115a61434
12a08b314
1362bc720
143dc15a8
152987424
hex1ca7400

30045184 has 88 divisors (see below), whose sum is σ = 67518248. Its totient is φ = 13271040.

The previous prime is 30045181. The next prime is 30045209. The reversal of 30045184 is 48154003.

It can be written as a sum of positive squares in 4 ways, for example, as 451584 + 29593600 = 672^2 + 5440^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30045181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 492514 + ... + 492574.

Almost surely, 230045184 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 30045184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33759124).

30045184 is an abundant number, since it is smaller than the sum of its proper divisors (37473064).

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

30045184 is a wasteful number, since it uses less digits than its factorization.

30045184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 30045184 is about 5481.3487391335. The cubic root of 30045184 is about 310.8791692252.

Adding to 30045184 its reverse (48154003), we get a palindrome (78199187).

The spelling of 30045184 in words is "thirty million, forty-five thousand, one hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 61 64 74 104 122 128 148 208 244 256 296 416 481 488 512 592 793 832 962 976 1024 1184 1586 1664 1924 1952 2257 2368 3172 3328 3848 3904 4514 4736 6344 6656 7696 7808 9028 9472 12688 13312 15392 15616 18056 18944 25376 29341 30784 31232 36112 37888 50752 58682 61568 62464 72224 101504 117364 123136 144448 203008 234728 246272 288896 406016 469456 492544 577792 812032 938912 1155584 1877824 2311168 3755648 7511296 15022592 30045184