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1684755384 = 2331319594817
BaseRepresentation
bin110010001101011…
…0101001110111000
311100102011102220120
41210122311032320
511422244133014
6435102053240
756515120164
oct14432651670
94312142816
101684755384
11795000724
123b027a220
1320b06c7a0
1411da77ca4
159cd91ba9
hex646b53b8

1684755384 has 128 divisors (see below), whose sum is σ = 4856544000. Its totient is φ = 482678784.

The previous prime is 1684755353. The next prime is 1684755389. The reversal of 1684755384 is 4835574861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1684755389) 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, 347344 + ... + 352160.

It is an arithmetic number, because the mean of its divisors is an integer number (37941750).

Almost surely, 21684755384 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 1684755384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428272000).

1684755384 is an abundant number, since it is smaller than the sum of its proper divisors (3171788616).

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

1684755384 is a wasteful number, since it uses less digits than its factorization.

1684755384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4917 (or 4913 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 51.

The square root of 1684755384 is about 41045.7718163516. The cubic root of 1684755384 is about 1189.9049859407.

The spelling of 1684755384 in words is "one billion, six hundred eighty-four million, seven hundred fifty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 59 76 78 104 114 118 152 156 177 228 236 247 312 354 456 472 494 708 741 767 988 1121 1416 1482 1534 1976 2242 2301 2964 3068 3363 4484 4602 4817 5928 6136 6726 8968 9204 9634 13452 14451 14573 18408 19268 26904 28902 29146 38536 43719 57804 58292 62621 87438 91523 115608 116584 125242 174876 183046 187863 250484 274569 284203 349752 366092 375726 500968 549138 568406 732184 751452 852609 1098276 1136812 1189799 1502904 1705218 2196552 2273624 2379598 3410436 3569397 3694639 4759196 5399857 6820872 7138794 7389278 9518392 10799714 11083917 14277588 14778556 16199571 21599428 22167834 28555176 29557112 32399142 43198856 44335668 64798284 70198141 88671336 129596568 140396282 210594423 280792564 421188846 561585128 842377692 1684755384