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3482817912 = 2336785313
BaseRepresentation
bin1100111110010111…
…1001010101111000
322222201112111000000
43033211321111320
524113100133122
61333332513000
7152210315040
oct31745712570
98881474000
103482817912
111527a61712
1281247b760
13436731a02
142507a8720
15155b660ac
hexcf979578

3482817912 has 112 divisors (see below), whose sum is σ = 11189784240. Its totient is φ = 995079168.

The previous prime is 3482817911. The next prime is 3482818057. The reversal of 3482817912 is 2197182843.

It is a happy number.

3482817912 is a `hidden beast` number, since 3 + 482 + 81 + 7 + 91 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3482817911) 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, 1833 + ... + 83480.

Almost surely, 23482817912 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 3482817912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5594892120).

3482817912 is an abundant number, since it is smaller than the sum of its proper divisors (7706966328).

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

3482817912 is an equidigital number, since it uses as much as digits as its factorization.

3482817912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85344 (or 85325 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 3482817912 is about 59015.4040230176. The cubic root of 3482817912 is about 1515.8058882680.

The spelling of 3482817912 in words is "three billion, four hundred eighty-two million, eight hundred seventeen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 729 756 972 1134 1458 1512 1701 1944 2268 2916 3402 4536 5103 5832 6804 10206 13608 20412 40824 85313 170626 255939 341252 511878 597191 682504 767817 1023756 1194382 1535634 1791573 2047512 2303451 2388764 3071268 3583146 4606902 4777528 5374719 6142536 6910353 7166292 9213804 10749438 13820706 14332584 16124157 18427608 20731059 21498876 27641412 32248314 41462118 42997752 48372471 55282824 62193177 64496628 82924236 96744942 124386354 128993256 145117413 165848472 193489884 248772708 290234826 386979768 435352239 497545416 580469652 870704478 1160939304 1741408956 3482817912