Search a number
-
+
3341144340 = 2232538947717
BaseRepresentation
bin1100011100100101…
…1101000100010100
322121211221201101200
43013021131010110
523320313104330
61311312152500
7145540154412
oct30711350424
98554851350
103341144340
111464a97216
12792b38730
134132899b1
14239a4a2b2
151484cda60
hexc725d114

3341144340 has 72 divisors (see below), whose sum is σ = 10161070920. Its totient is φ = 888662784.

The previous prime is 3341144311. The next prime is 3341144353. The reversal of 3341144340 is 434411433.

It can be written as a sum of positive squares in 4 ways, for example, as 15776784 + 3325367556 = 3972^2 + 57666^2 .

It is a super-2 number, since 2×33411443402 = 22326491001428071200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46162 + ... + 93878.

It is an arithmetic number, because the mean of its divisors is an integer number (141125985).

Almost surely, 23341144340 is an apocalyptic number.

3341144340 is a gapful number since it is divisible by the number (30) 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 3341144340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080535460).

3341144340 is an abundant number, since it is smaller than the sum of its proper divisors (6819926580).

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

3341144340 is a wasteful number, since it uses less digits than its factorization.

3341144340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48121 (or 48116 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3341144340 is about 57802.6326390070. The cubic root of 3341144340 is about 1494.9674813865.

Adding to 3341144340 its reverse (434411433), we get a palindrome (3775555773).

The spelling of 3341144340 in words is "three billion, three hundred forty-one million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 389 778 1167 1556 1945 2334 3501 3890 4668 5835 7002 7780 11670 14004 17505 23340 35010 47717 70020 95434 143151 190868 238585 286302 429453 477170 572604 715755 858906 954340 1431510 1717812 2147265 2863020 4294530 8589060 18561913 37123826 55685739 74247652 92809565 111371478 167057217 185619130 222742956 278428695 334114434 371238260 556857390 668228868 835286085 1113714780 1670572170 3341144340