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30051684 = 223213157409
BaseRepresentation
bin111001010100…
…0110101100100
32002112210011100
41302220311210
530143123214
62552040100
7513302145
oct162506544
962483140
1030051684
1115a66303
12a093030
1362c2680
143dc3acc
152989309
hex1ca8d64

30051684 has 72 divisors (see below), whose sum is σ = 82529720. Its totient is φ = 9165312.

The previous prime is 30051683. The next prime is 30051737. The reversal of 30051684 is 48615003.

30051684 = 402 + 412 + ... + 4482.

It can be written as a sum of positive squares in 4 ways, for example, as 3240000 + 26811684 = 1800^2 + 5178^2 .

It is a super-2 number, since 2×300516842 = 1806207422471712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30051683) 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, 73272 + ... + 73680.

Almost surely, 230051684 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 30051684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41264860).

30051684 is an abundant number, since it is smaller than the sum of its proper divisors (52478036).

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

30051684 is a wasteful number, since it uses less digits than its factorization.

30051684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 30051684 is about 5481.9416268326. The cubic root of 30051684 is about 310.9015862277.

Adding to 30051684 its reverse (48615003), we get a palindrome (78666687).

It can be divided in two parts, 300 and 51684, that added together give a square (51984 = 2282).

The spelling of 30051684 in words is "thirty million, fifty-one thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 157 234 314 409 468 471 628 818 942 1227 1413 1636 1884 2041 2454 2826 3681 4082 4908 5317 5652 6123 7362 8164 10634 12246 14724 15951 18369 21268 24492 31902 36738 47853 63804 64213 73476 95706 128426 191412 192639 256852 385278 577917 770556 834769 1155834 1669538 2311668 2504307 3339076 5008614 7512921 10017228 15025842 30051684