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30330216 = 2332728597
BaseRepresentation
bin111001110110…
…0110101101000
32010001221020100
41303230311220
530231031331
63002025400
7515542200
oct163546550
963057210
1030330216
11161365a4
12a1a8260
13638c397
144057400
1529e1ae6
hex1cecd68

30330216 has 72 divisors (see below), whose sum is σ = 95566770. Its totient is φ = 8664768.

The previous prime is 30330211. The next prime is 30330239. The reversal of 30330216 is 61203303.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 23328900 + 7001316 = 4830^2 + 2646^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (30330211) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 771 + ... + 7826.

Almost surely, 230330216 is an apocalyptic number.

30330216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30330216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47783385).

30330216 is an abundant number, since it is smaller than the sum of its proper divisors (65236554).

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

30330216 is a wasteful number, since it uses less digits than its factorization.

30330216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8623 (or 8609 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 30330216 is about 5507.2875356204. The cubic root of 30330216 is about 311.8591573378.

Adding to 30330216 its reverse (61203303), we get a palindrome (91533519).

The spelling of 30330216 in words is "thirty million, three hundred thirty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 8597 17194 25791 34388 51582 60179 68776 77373 103164 120358 154746 180537 206328 240716 309492 361074 421253 481432 541611 618984 722148 842506 1083222 1263759 1444296 1685012 2166444 2527518 3370024 3791277 4332888 5055036 7582554 10110072 15165108 30330216