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30184704 = 283311397
BaseRepresentation
bin111001100100…
…1010100000000
32002210112122000
41303021110000
530211402304
62554544000
7514365024
oct163112400
962715560
1030184704
1116047240
12a138000
13633b094
14401a384
1529b3939
hex1cc9500

30184704 has 144 divisors (see below), whose sum is σ = 97621440. Its totient is φ = 9123840.

The previous prime is 30184699. The next prime is 30184709. The reversal of 30184704 is 40748103.

It is an interprime number because it is at equal distance from previous prime (30184699) and next prime (30184709).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×301847042 = 1822232711135232, which contains 22 as substring.

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 (30184709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75834 + ... + 76230.

Almost surely, 230184704 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 30184704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48810720).

30184704 is an abundant number, since it is smaller than the sum of its proper divisors (67436736).

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

30184704 is a wasteful number, since it uses less digits than its factorization.

30184704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 30184704 is about 5494.0607932567. The cubic root of 30184704 is about 311.3596333195.

The spelling of 30184704 in words is "thirty million, one hundred eighty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 397 432 528 576 594 704 768 792 794 864 1056 1152 1188 1191 1408 1584 1588 1728 2112 2304 2376 2382 2816 3168 3176 3456 3573 4224 4367 4752 4764 6336 6352 6912 7146 8448 8734 9504 9528 10719 12672 12704 13101 14292 17468 19008 19056 21438 25344 25408 26202 28584 34936 38016 38112 39303 42876 50816 52404 57168 69872 76032 76224 78606 85752 101632 104808 114336 117909 139744 152448 157212 171504 209616 228672 235818 279488 304896 314424 343008 419232 457344 471636 558976 628848 686016 838464 914688 943272 1117952 1257696 1372032 1676928 1886544 2515392 2744064 3353856 3773088 5030784 7546176 10061568 15092352 30184704