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3421817388 = 223211191273581
BaseRepresentation
bin1100101111110100…
…1100101000101100
322211110202100000100
43023331030220230
524001441124023
61323313231100
7150536652663
oct31375145054
98743670010
103421817388
1114a6588060
127b5b62490
13426bc4522
14246649dda
15150616c43
hexcbf4ca2c

3421817388 has 144 divisors (see below), whose sum is σ = 10013552640. Its totient is φ = 974332800.

The previous prime is 3421817383. The next prime is 3421817389. The reversal of 3421817388 is 8837181243.

3421817388 is a `hidden beast` number, since 3 + 421 + 81 + 73 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (3421817383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 953758 + ... + 957338.

It is an arithmetic number, because the mean of its divisors is an integer number (69538560).

Almost surely, 23421817388 is an apocalyptic number.

3421817388 is a gapful number since it is divisible by the number (38) 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 3421817388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5006776320).

3421817388 is an abundant number, since it is smaller than the sum of its proper divisors (6591735252).

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

3421817388 is a wasteful number, since it uses less digits than its factorization.

3421817388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748 (or 3743 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 3421817388 is about 58496.3023446782. The cubic root of 3421817388 is about 1506.9040830041.

The spelling of 3421817388 in words is "three billion, four hundred twenty-one million, eight hundred seventeen thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 127 132 171 198 209 228 254 342 381 396 418 508 627 684 762 836 1143 1254 1397 1524 1881 2286 2413 2508 2794 3581 3762 4191 4572 4826 5588 7162 7239 7524 8382 9652 10743 12573 14324 14478 16764 21486 21717 25146 26543 28956 32229 39391 42972 43434 50292 53086 64458 68039 78782 79629 86868 106172 118173 128916 136078 157564 159258 204117 236346 238887 272156 318516 354519 408234 454787 472692 477774 612351 709038 748429 816468 909574 955548 1224702 1364361 1418076 1496858 1819148 2245287 2449404 2728722 2993716 4093083 4490574 5002657 5457444 6735861 8186166 8640953 8981148 10005314 13471722 15007971 16372332 17281906 20010628 25922859 26943444 30015942 34563812 45023913 51845718 60031884 77768577 90047826 95050483 103691436 155537154 180095652 190100966 285151449 311074308 380201932 570302898 855454347 1140605796 1710908694 3421817388