Search a number
-
+
214104324 = 223721721419
BaseRepresentation
bin11001100001011…
…11100100000100
3112220212121220210
430300233210010
5414302314244
633124555420
75206566600
oct1460574404
9486777823
10214104324
11aa946825
125b852b70
1335485065
1420614500
1513be34b9
hexcc2f904

214104324 has 72 divisors (see below), whose sum is σ = 615353760. Its totient is φ = 57571584.

The previous prime is 214104313. The next prime is 214104343. The reversal of 214104324 is 423401412.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 214104324.

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, 714 + ... + 20705.

It is an arithmetic number, because the mean of its divisors is an integer number (8546580).

Almost surely, 2214104324 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 214104324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307676880).

214104324 is an abundant number, since it is smaller than the sum of its proper divisors (401249436).

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

214104324 is a wasteful number, since it uses less digits than its factorization.

214104324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21457 (or 21448 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 214104324 is about 14632.3041247782. The cubic root of 214104324 is about 598.2395843908.

Adding to 214104324 its reverse (423401412), we get a palindrome (637505736).

The spelling of 214104324 in words is "two hundred fourteen million, one hundred four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 357 476 588 714 833 1428 1666 2499 3332 4998 9996 21419 42838 64257 85676 128514 149933 257028 299866 364123 449799 599732 728246 899598 1049531 1092369 1456492 1799196 2099062 2184738 2548861 3148593 4198124 4369476 5097722 6297186 7646583 10195444 12594372 15293166 17842027 30586332 35684054 53526081 71368108 107052162 214104324