Search a number
-
+
349784811324 = 2236139227203
BaseRepresentation
bin1010001011100001100…
…11001010011100111100
31020102212002211111000000
411011300303022130330
521212324402430244
6424404450234300
734161664561014
oct5056063123474
91212762744000
10349784811324
11125385452973
125795a285990
1326ca5126b50
1412d03058c44
1591731e9169
hex5170cca73c

349784811324 has 84 divisors (see below), whose sum is σ = 988362729256. Its totient is φ = 107626084128.

The previous prime is 349784811323. The next prime is 349784811373. The reversal of 349784811324 is 423118487943.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349784811323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4575694 + ... + 4651509.

Almost surely, 2349784811324 is an apocalyptic number.

It is an amenable number.

349784811324 is an abundant number, since it is smaller than the sum of its proper divisors (638577917932).

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

349784811324 is a wasteful number, since it uses less digits than its factorization.

349784811324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9227238 (or 9227221 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 349784811324 in words is "three hundred forty-nine billion, seven hundred eighty-four million, eight hundred eleven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 729 972 1053 1404 1458 2106 2916 3159 4212 6318 9477 12636 18954 37908 9227203 18454406 27681609 36908812 55363218 83044827 110726436 119953639 166089654 239907278 249134481 332179308 359860917 479814556 498268962 719721834 747403443 996537924 1079582751 1439443668 1494806886 2159165502 2242210329 2989613772 3238748253 4318331004 4484420658 6477496506 6726630987 8968841316 9716244759 12954993012 13453261974 19432489518 26906523948 29148734277 38864979036 58297468554 87446202831 116594937108 174892405662 349784811324