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3012140240 = 2451710321503
BaseRepresentation
bin1011001110001001…
…1001110011010000
321202220212120121122
42303202121303100
522132101441430
61214520341412
7134433524654
oct26342316320
97686776548
103012140240
1113063025aa
12700914868
13390075305
14208086a64
15129690ee5
hexb3899cd0

3012140240 has 80 divisors (see below), whose sum is σ = 7487520768. Its totient is φ = 1122920448.

The previous prime is 3012140233. The next prime is 3012140273. The reversal of 3012140240 is 420412103.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×30121402403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129329 + ... + 150831.

Almost surely, 23012140240 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 3012140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3743760384).

3012140240 is an abundant number, since it is smaller than the sum of its proper divisors (4475380528).

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

3012140240 is a wasteful number, since it uses less digits than its factorization.

3012140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21636 (or 21630 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 3012140240 is about 54882.9685786037. The cubic root of 3012140240 is about 1444.1924247932.

Adding to 3012140240 its reverse (420412103), we get a palindrome (3432552343).

The spelling of 3012140240 in words is "three billion, twelve million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 103 136 170 206 272 340 412 515 680 824 1030 1360 1648 1751 2060 3502 4120 7004 8240 8755 14008 17510 21503 28016 35020 43006 70040 86012 107515 140080 172024 215030 344048 365551 430060 731102 860120 1462204 1720240 1827755 2214809 2924408 3655510 4429618 5848816 7311020 8859236 11074045 14622040 17718472 22148090 29244080 35436944 37651753 44296180 75303506 88592360 150607012 177184720 188258765 301214024 376517530 602428048 753035060 1506070120 3012140240