Search a number
-
+
30004218 = 23217313163
BaseRepresentation
bin111001001110…
…1001111111010
32002110101001100
41302131033322
530140113333
62551032230
7513013566
oct162351772
962411040
1030004218
1115a33682
12a06b676
1362a6b9a
143db06a6
15297a213
hex1c9d3fa

30004218 has 48 divisors (see below), whose sum is σ = 71076096. Its totient is φ = 9106560.

The previous prime is 30004207. The next prime is 30004223. The reversal of 30004218 is 81240003.

It is a happy number.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 30004218.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7905 + ... + 11067.

It is an arithmetic number, because the mean of its divisors is an integer number (1480752).

Almost surely, 230004218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30004218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35538048).

30004218 is an abundant number, since it is smaller than the sum of its proper divisors (41071878).

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

30004218 is a wasteful number, since it uses less digits than its factorization.

30004218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 30004218 is about 5477.6106104761. The cubic root of 30004218 is about 310.7378124760.

The spelling of 30004218 in words is "thirty million, four thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 527 558 1054 1581 3162 3163 4743 6326 9486 9489 18978 28467 53771 56934 98053 107542 161313 196106 294159 322626 483939 588318 882477 967878 1666901 1764954 3333802 5000703 10001406 15002109 30004218