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3214201424 = 2471719233863
BaseRepresentation
bin1011111110010100…
…1101001001010000
322022000002100110012
42333211031021100
523040313421144
61250535254052
7142436155430
oct27745151120
98260070405
103214201424
1113aa373115
1275851a328
133c2ba1845
14226c442c0
1513c2a5e9e
hexbf94d250

3214201424 has 160 divisors (see below), whose sum is σ = 8279470080. Its totient is φ = 1174542336.

The previous prime is 3214201423. The next prime is 3214201511. The reversal of 3214201424 is 4241024123.

3214201424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 3214201424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3214201421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 830117 + ... + 833979.

It is an arithmetic number, because the mean of its divisors is an integer number (51746688).

Almost surely, 23214201424 is an apocalyptic number.

3214201424 is a gapful number since it is divisible by the number (34) 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 3214201424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139735040).

3214201424 is an abundant number, since it is smaller than the sum of its proper divisors (5065268656).

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

3214201424 is a wasteful number, since it uses less digits than its factorization.

3214201424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3937 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 3214201424 is about 56693.9275760641. The cubic root of 3214201424 is about 1475.7893197923.

Adding to 3214201424 its reverse (4241024123), we get a palindrome (7455225547).

The spelling of 3214201424 in words is "three billion, two hundred fourteen million, two hundred one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 19 23 28 34 38 46 56 68 76 92 112 119 133 136 152 161 184 238 266 272 304 322 323 368 391 437 476 532 644 646 782 874 952 1064 1288 1292 1564 1748 1904 2128 2261 2576 2584 2737 3059 3128 3496 3863 4522 5168 5474 6118 6256 6992 7429 7726 9044 10948 12236 14858 15452 18088 21896 24472 27041 29716 30904 36176 43792 48944 52003 54082 59432 61808 65671 73397 88849 104006 108164 118864 131342 146794 177698 208012 216328 262684 293588 355396 416024 432656 459697 513779 525368 587176 621943 710792 832048 919394 1027558 1050736 1174352 1243886 1247749 1421584 1510433 1688131 1838788 2055116 2487772 2495498 3020866 3376262 3677576 4110232 4975544 4990996 6041732 6752524 7355152 8220464 8734243 9951088 9981992 10573031 11816917 12083464 13505048 17468486 19963984 21146062 23633834 24166928 27010096 28698227 34936972 42292124 47267668 57396454 69873944 84584248 94535336 114792908 139747888 169168496 189070672 200887589 229585816 401775178 459171632 803550356 1607100712 3214201424