Search a number
-
+
30298972356 = 22326724332
BaseRepresentation
bin11100001101111101…
…011010000011000100
32220012120212021100100
4130031331122003010
5444023014103411
621530312044100
72121560005242
oct341575320304
986176767310
1030298972356
1111938a86424
125a57093630
132b1b2c3213
141676031792
15bc4ed3456
hex70df5a0c4

30298972356 has 81 divisors (see below), whose sum is σ = 77929225101. Its totient is φ = 9925939584.

The previous prime is 30298972349. The next prime is 30298972369. The reversal of 30298972356 is 65327989203.

It is a happy number.

The square root of 30298972356 is 174066.

It is a perfect power (a square), and thus also a powerful number.

30298972356 is a `hidden beast` number, since 30 + 298 + 97 + 235 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3397724100 + 26901248256 = 58290^2 + 164016^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 69974316 + ... + 69974748.

Almost surely, 230298972356 is an apocalyptic number.

30298972356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30298972356 is the 174066-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30298972356

30298972356 is an abundant number, since it is smaller than the sum of its proper divisors (47630252745).

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

30298972356 is an equidigital number, since it uses as much as digits as its factorization.

30298972356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 30298972356 in words is "thirty billion, two hundred ninety-eight million, nine hundred seventy-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 433 603 804 866 1206 1299 1732 2412 2598 3897 4489 5196 7794 8978 13467 15588 17956 26934 29011 40401 53868 58022 80802 87033 116044 161604 174066 187489 261099 348132 374978 522198 562467 749956 1044396 1124934 1687401 1943737 2249868 3374802 3887474 5831211 6749604 7774948 11662422 12561763 17493633 23324844 25123526 34987266 37685289 50247052 69974532 75370578 113055867 150741156 226111734 452223468 841638121 1683276242 2524914363 3366552484 5049828726 7574743089 10099657452 15149486178 30298972356