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3234114612 = 22321721372269
BaseRepresentation
bin1100000011000100…
…1010110000110100
322100101120001012200
43000301022300310
523110413131422
61252530144500
7143100343401
oct30061126064
98311501180
103234114612
11140a6341a3
12763122130
133c70545b1
142297492a8
1513dddb2ac
hexc0c4ac34

3234114612 has 108 divisors (see below), whose sum is σ = 8751544620. Its totient is φ = 1006774272.

The previous prime is 3234114607. The next prime is 3234114619. The reversal of 3234114612 is 2164114323.

It is a happy number.

3234114612 is a `hidden beast` number, since 3 + 2 + 3 + 41 + 1 + 4 + 612 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8328996 + 3225785616 = 2886^2 + 56796^2 .

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 (3234114619) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1424214 + ... + 1426482.

Almost surely, 23234114612 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 3234114612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375772310).

3234114612 is an abundant number, since it is smaller than the sum of its proper divisors (5517430008).

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

3234114612 is a wasteful number, since it uses less digits than its factorization.

3234114612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450 (or 2428 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3234114612 is about 56869.2765208069. The cubic root of 3234114612 is about 1478.8307376650.

Adding to 3234114612 its reverse (2164114323), we get a palindrome (5398228935).

The spelling of 3234114612 in words is "three billion, two hundred thirty-four million, one hundred fourteen thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 137 153 204 274 289 306 411 548 578 612 822 867 1156 1233 1644 1734 2269 2329 2466 2601 3468 4538 4658 4932 5202 6807 6987 9076 9316 10404 13614 13974 20421 20961 27228 27948 38573 39593 40842 41922 77146 79186 81684 83844 115719 118779 154292 158372 231438 237558 310853 347157 356337 462876 475116 621706 655741 694314 712674 932559 1243412 1311482 1388628 1425348 1865118 1967223 2622964 2797677 3730236 3934446 5284501 5595354 5901669 7868892 10569002 11190708 11803338 15853503 21138004 23606676 31707006 47560509 63414012 89836517 95121018 179673034 190242036 269509551 359346068 539019102 808528653 1078038204 1617057306 3234114612