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3421240218 = 23211433891033
BaseRepresentation
bin1100101111101011…
…1111101110011010
322211102200000021200
43023322333232122
524001314141333
61323253015030
7150532030164
oct31372775632
98742600250
103421240218
1114a6223460
127b5924476
13426a518c6
14246539934
15150550c13
hexcbebfb9a

3421240218 has 96 divisors (see below), whose sum is σ = 8303929920. Its totient is φ = 1009048320.

The previous prime is 3421240217. The next prime is 3421240219. The reversal of 3421240218 is 8120421243.

3421240218 is a `hidden beast` number, since 3 + 421 + 24 + 0 + 218 = 666.

It is an interprime number because it is at equal distance from previous prime (3421240217) and next prime (3421240219).

It is a junction number, because it is equal to n+sod(n) for n = 3421240191 and 3421240200.

It is not an unprimeable number, because it can be changed into a prime (3421240217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3311430 + ... + 3312462.

It is an arithmetic number, because the mean of its divisors is an integer number (86499270).

Almost surely, 23421240218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3421240218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151964960).

3421240218 is an abundant number, since it is smaller than the sum of its proper divisors (4882689702).

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

3421240218 is a wasteful number, since it uses less digits than its factorization.

3421240218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3421240218 is about 58491.3687478760. The cubic root of 3421240218 is about 1506.8193532990.

The spelling of 3421240218 in words is "three billion, four hundred twenty-one million, two hundred forty thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 258 387 389 473 774 778 946 1033 1167 1419 2066 2334 2838 3099 3501 4257 4279 6198 7002 8514 8558 9297 11363 12837 16727 18594 22726 25674 33454 34089 38511 44419 50181 68178 77022 88838 100362 102267 133257 150543 183997 204534 266514 301086 367994 399771 401837 488609 551991 799542 803674 977218 1103982 1205511 1465827 1655973 2411022 2931654 3311946 3616533 4397481 4420207 7233066 8794962 8840414 13260621 17278991 26521242 34557982 39781863 51836973 79563726 103673946 155510919 190068901 311021838 380137802 570206703 1140413406 1710620109 3421240218